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Gene Munster, Piper JaffrayApple could more than double its sales by 2015 to $200 billion, said Piper Jaffray analyst Gene Munster.

That growth estimate, defying skeptics who believe iPhone sales will stumble, would come largely on the growth of iPhone sales, from a forecast of 36 million in 2010 to 185 million in 2015, according to Munster’s projections.

The smartphone market won’t be like the PC market, where Apple never gained much market share against IBM PC clones running Microsoft’s Windows operating system. Instead, Apple’s iOS operating system for the iPhone and other mobile devices will share a large part of the market with Google’s rival Android operating system, squeezing out smaller players like BlackBerry and Symbian, and should have more than a quarter of the smartphone market by 2015.

Apple will also benefit from its range of devices, from the iPod Touch, which is popular with younger users as a music and games device, to the iPhone, to the iPad, which is better-received by older users. Few competitors have that range of compatible devices that appeal to different age demographics, said Munster.

Munster made the remarks at the Business Insider’s Ignition 2010 conference in New York today.

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