Open a terminal and type the following commands,
tar -xf flashplayer10_2_p3_64bit_linux_111710.tar.gz
su -c 'mv libflashplayer.so /usr/lib64/mozilla/plugins'
Restart Firefox and experience Flash in 64-bit.
For more details concerning Flash Player "Square" visit, http://labs.adobe.com/technologies/flashplayer10/square/
I suggest bookmarking this page and keeping an eye out for updates.
16/12/2010 - Important email received from Adam.W Fedora QA Community Monkey
I recommend not installing the 64-bit Flash plugin for several reasons.
and the warnings at https://fedoraproject.org/wiki/Flash#64-bit_Preview_Release ,
and follow the instructions at https://fedoraproject.org/wiki/Flash#32_bit_wrapped_version to install the 32-bit version wrapped instead.
It is nice to see the fedora community (and a Red Hat employee) demonstrating an active interest in the users as well as the product.
Thank you for the email.