Q:

How can I increase the size of the projection from my projection clock?

I have the "Mpow Projection Alarm Clock" (https://amzn.to/2VtA1Cx) and although in the example image the time projected on the ceiling is gigantic, in reality it's only about 7 inches (18cm). It's still small when I project it on the other side of the room (I have a small room). I want it to be much bigger.. Ideally triple the size. 
I tried holding two kinds of magnifying glasses at various distances over the thing where the time is projected out and that doesn't work. The projected time turned into an unreadable circle. I tried a camera lens and perhaps the projection isn't bright enough because nothing was visible - no light was coming through. 

A:

If you have mirrors in the room, you could bounce the projection off the mirror on one side of the room and then read it off the wall on the other side of the room.  This should get you up to 14 inches.
However, the image will be reversed.  If you have two mirrors the image could be corrected and you could have a final size of 21 inches.
CAUTION:  The larger the projection, the dimmer it will be.  I don't know if it will still be readable after enlarging it with the mirrors.

