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Finding the Third Proportional to 508,614,147 and 1,098,538,038

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Solution

The third proportional to 508,614,147 and 1,098,538,038 is: 2,372,694,169.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,614,147 : 1,098,538,038 = 1,098,538,038 : x
  2. Step 2: Convert to fraction form
    508,614,147/1,098,538,038 = 1,098,538,038/x
  3. Step 3: Cross multiply
    508,614,147x = 1,098,538,038 × 1,098,538,038
  4. Step 4: Simplify right side
    508,614,147x = 1,206,785,820,932,889,344
  5. Step 5: Solve for x
    x = 1,206,785,820,932,889,344/508,614,147
  6. Step 6: Final answer
    x = 2,372,694,169.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.