What you're going to want to do is this:
That back of the mail box is going to be crimped on in such a way that it can't be removed without cutting the back of the mailbox off. This would leave sharp edges, so you could round those off and then attempt to re-use the back as a makeshift door, or you could just get another mailbox and use the door from it.
There's several ways you can use the two mailboxes to make one double-ender, so that bit of creativity is up to you. I'd probably cut the back 40% off of each one and join the fronts to end up with a slightly longer "limo" mailbox.
On another note - they do sell double ended mailboxes, soI see what you could just domean about finding a "medium" double door box. They also have replacement doors that are made for bricked in mailboxes that might work for this, but they seem very expensive for what they are.