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The Milky Way galaxy is a large barred spiral galaxy, and its size can vary depending on how it is defined. However, estimates suggest that the Milky Way has a diameter of approximately 100,000 to 120,000 light-years.

The number of galaxies that can fit inside the Milky Way would depend on the size of those galaxies and the amount of space available within the Milky Way. Since galaxies can vary in size, it is difficult to provide an exact number. However, we can make some rough calculations based on average sizes.

If we assume an average diameter of 100,000 light-years for other galaxies, and assuming the Milky Way has a relatively flat disk shape, we can estimate the number of galaxies that can fit within it.

Let's assume that the disk of the Milky Way has a thickness of about 1,000 light-years. We can then calculate the volume of the Milky Way as:

Volume = π * (radius)^2 * thickness

Using a radius of 50,000 light-years (half of the diameter) and a thickness of 1,000 light-years, we get:

Volume = π * (50,000)^2 * 1,000 ≈ 7.85 x 10^12 cubic light-years

Now, let's assume the average galaxy has a similar shape and volume. We can calculate the number of galaxies that can fit within the Milky Way by dividing the volume of the Milky Way by the volume of an average galaxy:

Number of galaxies = Volume of Milky Way / Volume of an average galaxy

Number of galaxies ≈ 7.85 x 10^12 / Volume of an average galaxy

Keep in mind that these calculations are based on rough estimations and assumptions, and the actual number may vary significantly. Additionally, it's important to note that the presence of a supermassive black hole at the center of every galaxy does not significantly affect the overall size or capacity of the Milky Way to host other galaxies, as black holes occupy a relatively small fraction of the galaxy's volume.

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