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Would it be possible to build numerous spaceships that could transport 10 million people in the late 2100's?

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The crafts would have to contain large farms in order to sustain the immense amount of people, and they'd obviously have to be large and spacious to have good living conditions. I did some research, and ships like the Death Star from Star Wars (Which can hold a billion people at the maximum) are unrealistic in terms of how much building materials would be required to make it. Would the collection of metals from asteroids be required to construct these crafts on Earth? What type metal or alloy would be ideal for constructing the outer parts of the crafts exposed to the vacuum of space? Nanotech is present in my setting, so what applications could it have for the construction of the ships?

Their purpose is to evacuate the population off of the planet in-case some worldwide unavoidable disaster occurs. Since this takes place in the late 2100's, the population would be somewhere around 10 billion. If one ship can carry a total of 10 million people without being overcrowded, there would have to be around 1000 of these ships in order to transport Earth's population through the depths of space.

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This post was sourced from https://worldbuilding.stackexchange.com/q/175091. It is licensed under CC BY-SA 4.0.

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