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You can simply install the application on your second system as you did on your first one.
You can download the installation file for Adobe Acrobat from here Download Pro or Standard versions of Acrobat DC, 2017, XI, or X on your second system.
However, you will not be able to use the application simultaneously on both the systems.
That means you can use the application on one system at a time.
Let us know if you need any help or have any questions.