Finding the Third Proportional to 798,691,662,862 and 1,619,607,854,183
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Solution
The third proportional to 798,691,662,862 and 1,619,607,854,183 is: 3,284,283,188,748.51
Step by Step Solution
- Step 1: Write the proportion equation
798,691,662,862 : 1,619,607,854,183 = 1,619,607,854,183 : x - Step 2: Convert to fraction form
798,691,662,862/1,619,607,854,183 = 1,619,607,854,183/x - Step 3: Cross multiply
798,691,662,862x = 1,619,607,854,183 × 1,619,607,854,183 - Step 4: Simplify right side
798,691,662,862x = 2,623,129,601,331,261,821,943,808 - Step 5: Solve for x
x = 2,623,129,601,331,261,821,943,808/798,691,662,862 - Step 6: Final answer
x = 3,284,283,188,748.51
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Why These Related Problems?
These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.