I have many times needed to calculate the relationship between other people, by simply entering their Family Search ID numbers.
As far as I know, you can only calculate the relationship between yourself and another person.
BYU's Relative Finder tool has this capability: https://relativefinder.org/#/two-deceased
Welcome to the "Community.FamilySearch" Forum.
I am just another 'lowly' User/Patron ...
Further to what 'Amy' has already proffered ...
IF, you have not already; THEN, You might want to try ...
Can I humbly suggest that a place where you should be able to 'See' your "Relationship" with, "Famous People"; and, many, "Others"; as well as, between two (x2) individuals/person; PLUS, you can ALSO "Print" the connections/links between you and them is through (BYU) "RelativeFinder" ...
And, it is simple, just a matter of "Signing In", with the credentials of your 'FamilySearch' Account; accepting the "Conditions"; and, the "Connection" between "FamilySearch' and (BYU) "RelativeFinder"; which, then becomes a "Partner" Account, that is "Connect" to 'FamilySearch.
(BYU) "RelativeFinder" digs (pun intended) a lot DEEPER in "Family Tree" of 'FamilySearch', than 'FamilySearch' does.
(BYU) "RelativeFinder" is one of the "Third Party" Applications that "Certified" to work with "Family Tree" of 'FamilySearch'.
BYU = Brigham Young University, in Provo, Utah, USA (ie. the Church University).
From the "Family History Technology Laboratory", of the "Computer Science" Department.
Here is direct link to "RelativeFibder"
"RelativeFinder" has MANY 'Bells and Whistles', that you might find useful.
Apart from "Famous People" and "Others" ...
(BYU) "RelativeFinder" has some interesting options ...
There is an option to see if there is a 'Connection' between yourself and a "Deceased" individual/person in "Family Tree" of 'FamilySearch'.
There is an option to see if there is a 'Connection' between two (x2) "Deceased" individuals/person in "Family Tree" of 'FamilySearch'.
There is an option to see if there is a 'Connection' between ("Living" - Users/Patrons) Friends in "Family Tree" of 'FamilySearch'.
I hope this also might help, somewhat.