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Australia is through to the Rugby World Cup semifinals after a controversial final minute penalty by Bernard Foley secured a 35-34 victory over Scotland at Twickenham.
Scotland had been on the verge of a stunning upset with 79 minutes on the clock, but referee Craig Joubert awarded Australia a penalty for an offside play, despite the ball appearing to come off a Wallaby shirt.
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Australia celebrate as they hear the full-time whistle on their narrow Rugby World Cup quarterfinal victory over Scotland.
Wallabies first five-eighth acknowledge crowd applause after winning the Rugby World Cup quarterfinal for Australia.
Scotland's Gordon Reid says farewell to the fans.
Australia props James Slipper and Greg Holmes celebrate after the game.
Australia wing Adam Ashley-Cooper claims a high ball in the Rugby World Cup quarterfinal against Scotland.
Try time for Australia wing Drew Mitchell.
Australia lock Scott Fardy rises in the line-out.
Australia wing Drew Mitchell dives over for a try against Scotland.
Australia lock Rob Simmons wins a lineout against Scotland in their Rugby World Cup quarterfinal.
Wallabies fullback Kurtley Beale is tackled by Jonny Gray of Scotland in their Rugby World Cup quarterfinal at Twickenham.
Australia's Tevita Kuridrani breaks past Richie Gray (right) of Scotland.
Peter Horne scores for Scotland in their Rugby World Cup quarterfinal against Australia.
Scotland's Jonny Gray is held up by the Australia defence during their Rugby World Cup quarterfinal at Twickenham.
Adam Ashley-Cooper dives over for the opening try of the Australia vs Scotland Rugby World Cup quarterfinal at Twickenham.
Wallabies captain Stephen Moore is tackled by David Denton and Finn Russell of Scotland in their Rugby World Cup quarterfinal at Twickenham.
Adam Ashley-Cooper of Australia wins a high ball from Richie Gray of Scotland in their Rugby World Cup quarterfinal at Twickenham.
Scotland and Australia stand for the national anthems ahead of their Rugby World Cup quarterfinal at Twickenham, London.
Scotland coach Vern Cotter gives instruction during warm-ups ahead of his team's Rugby World Cup quarterfinal against Australia.
Amid a cacophony of boos, Wallabies first five-eighth Foley kept his composure to split the posts to set up an all southern hemisphere Rugby World Cup semifinals.
Australia will play Argentina in one semifinal, while New Zealand and South Africa will meet in the other; the first time all four semifinalists have been from the southern hemisphere. Both games are back at Twickenham next weekend.
The battle between Australia and Scotland looked a mismatch on paper, but there was nothing between them in what developed into an epic see-saw battle on Sunday (NZT Monday).
Dylan Martinez/ Reuters
Wallabies first five-eighth Bernard Foley applauds the crowd at Twickenham.
Australia were totally dominant for the first 10 minutes and were rewarded when a surging run by centre Tevita Kuridrani set up winger Adam Ashley-Cooper to score the opening try.
It looked ominous for Scotland, but they roared back into the game earning a Greig Laidlaw penalty then going ahead when Peter Horne picked the ball up at a ruck 10 metres out, and with the Wallaby defence momentarily frozen, strolled over the line.
With their tails up, Scotland tore into their highly favoured opponents and scored another penalty, but Australia then turned to their forwards for a 10-phase assault that opened the door for Drew Mitchell to get their second try.
Australia's scrum, highly praised for how it dealt with England, found the Scottish version a tougher proposition and Laidlaw landed another penalty after a collapse.
Again Australia hit back, opting for a lineout instead of a shot at goal and validating the decision by driving flanker Michael Hooper over.
Mike Hewitt/ Getty Images
Bernard Foley of Australia kicks at goal.
Foley, so deadly from the tee earlier in the tournament, missed all three conversions to allow Scotland to change round with an unlikely 16-15 lead.
The Wallabies had never won a World Cup match having trailed at the break, but it took them only three minutes to regain the lead after Scotland wing Sean Maitland was yellow carded for a deliberate knock-on.
Australia again kicked for touch, mauled forward and sent Mitchell straight through the hole where Maitland should have been.
Five minutes later they repeated the trick on the other wing, Ashley-Cooper crossing, only for the TMO to chalk it off for a knock on.
Scotland continued to show real adventure with the ball and got back to within a point when Finn Russell charged down a Foley kick then kept his wits about him when he was tackled, popping the ball up for Tommy Seymour to score.
Again Australia hit back as Kuridrani forced his way over for their fifth try and, with Foley's conversion, the lead was opened to 32-24.
Another Laidlaw penalty, and an unexpected downpour, gave Scotland new hope going into the final 10 minutes.
That turned into a deafening roar when Mark Bennett intercepted a James Slipper pass to level, with Laidlaw's conversion putting the Scots two points ahead and dreaming of their first semi-final since 1991.