Thirty-one percent of $10.6 billion is $3.3 billion, and Google is paying 3.8 times that amount to acquire Motorola Mobility.
Google would probably have needed to offer a similar-sized buyout premium, though. This would put the theoretical buyout price at $6.2 billion, or about half of the final price tag. But that was then, and this is now. Google wasn't quite so much aware of the dangers of patent infringement lawsuits back then.
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