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Intergalactic travel is travel between galaxies, and it is even more difficult than interstellar travel. At the speed of light, travelling from Earth in the Milky Way galaxy to the Andromeda Galaxy (the nearest major galaxy) would take roughly two and a half million years from the perspective of observers on Earth, but would take an arbitrarily short amount of time for the traveller (due to the effects of time dilation), depending on exactly how close to the speed of light their vessel is traveling.
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