* Download the plugin here: http://labs.adobe.com/downloads/flashplayer10.html
Please note that if you install the Flash Player “Square” preview, you will need to keep this version up to date by manually installing updates from the Flash Player “Square” download page on Adobe Labs. You will not receive automatic update notifications for future final releases of Flash Player, and you will need to manually uninstall Flash Player “Square” before installing a final shipping version of Flash Player.

I never leave comments anywhere on the internet.
However I have been struggling with Chrome to play full screen flash videos for a while now, this worked right out of the box.
Note that I found two folders that contained libflashplayer.so.
You have /usr/lib64/mozilla/plugins
and /usr/lib/mozilla/plugins
regardless though … I just went to about:plugins in chromium and expanded the flash plugin and saw that the address of the plugin was there. Replaced that file and it worked like a charm.
For firefox. flash-aid seemed to work as well.
As a follow up to my previous post, for those interested,
I am using Ubuntu 11.04 – Natty Narwhal. Chromium
8:22 am
Thanks for the tip! I’ve now got Flash working on Google Chrome 64-bit on Fedora 13.
For my install, the .so file needed to be copied to opt/google/chrome (see #3 below)
How to install Adobe Flash on Google Chrome on Fedora 13 (64 bit)
1. download the 64-bit tar.gz file from http://labs.adobe.com/downloads/flashplayer10.html
2. unzip the file into your Downloads folder
3. copy libflashplayer.so to opt/google/chrome/
4. Restart your browser and go to about:plugins.
You’ll see flash enabled.