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Finding the Third Proportional to 657,974,316 and 1,463,062,295.25

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Solution

The third proportional to 657,974,316 and 1,463,062,295.25 is: 3,253,244,431.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,974,316 : 1,463,062,295.25 = 1,463,062,295.25 : x
  2. Step 2: Convert to fraction form
    657,974,316/1,463,062,295.25 = 1,463,062,295.25/x
  3. Step 3: Cross multiply
    657,974,316x = 1,463,062,295.25 × 1,463,062,295.25
  4. Step 4: Simplify right side
    657,974,316x = 2,140,551,279,782,198,272
  5. Step 5: Solve for x
    x = 2,140,551,279,782,198,272/657,974,316
  6. Step 6: Final answer
    x = 3,253,244,431.78

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.