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I was under the impression that Chrome had Flash built in - no need to download anything for it.
Uninstall all versions of Flash that you see in programs and features and then restart the computer.
For 32bit IE, install 32bit Flash - open IE and visit here...
Adobe - Flash Player
...to make sure that you have no versions of Flash showing.
You can then install Flash from links on that page.
Do the same for Firefox - open Firefox and visit that same website.