Finding the Third Proportional to 75,044,734,313 and 114,325,461,760
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Solution
The third proportional to 75,044,734,313 and 114,325,461,760 is: 174,166,932,913.95
Step by Step Solution
- Step 1: Write the proportion equation
75,044,734,313 : 114,325,461,760 = 114,325,461,760 : x - Step 2: Convert to fraction form
75,044,734,313/114,325,461,760 = 114,325,461,760/x - Step 3: Cross multiply
75,044,734,313x = 114,325,461,760 × 114,325,461,760 - Step 4: Simplify right side
75,044,734,313x = 13,070,311,206,637,222,756,352 - Step 5: Solve for x
x = 13,070,311,206,637,222,756,352/75,044,734,313 - Step 6: Final answer
x = 174,166,932,913.95
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Why These Related Problems?
These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.