The Peters map has been subject to considerable academic controversy. Nevertheless it could be used to compare sizes though the shapes might be wrong. One cartographic source states: “While the Peters projection does (almost)represent land of equal area equally, all map projections distort the shape of the earth, a sphere. All maps distort distance, shape, area, or direction to present a map that meets the users' needs. This is due to the fact that you can't make a completely accurate map from a spherical earth. However, neither the Peters map nor the Mercator map are aesthetically pleasing nor do they giveanyone a good indication of what the earth really looks like (such as if you're looking at a globe). John Snyder of the U.S. Geological Survey stated that the Peter's map "isn't any better than similar maps that have been in use for 400 years."
I appreciate that this has not much to do with Moon landings or trading but my USA trading is slow today 🙂