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The latest update for Flash Player 10.x is 10.3.183.20; you can obtain the installers from http://www.adobe.com/products/flashplayer/distribution3.html
[topic moved to Flash Player forum]
P.S. FP 10.3.183.20 was released June 2012.
Does Adobe plan to continue support in this fashion for version 10?
ie: is there an plan to stop releasing updates for version 10 at any point?
You will have to wait for Adobe staff to answer this question.