Large format Print 10ft x 10ft how many DPI wide?

Any Graphics Experts out there can help with a question about large printing 10 ft x 10 ft ?
I want to order a custom printed background for my 10 foot wide trade show booth.
► Do I have this right, to get a clear print 10 foot wide it should be 300 dpi, right?
► a 300 dpi print 10 feet wide would have to be 36,000 pixels wide?
Is this correct?
Thanks for any info you can provide

Poster :