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Finding the Third Proportional to 137,747,840 and 299,708,532

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Solution

The third proportional to 137,747,840 and 299,708,532 is: 652,098,821.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,747,840 : 299,708,532 = 299,708,532 : x
  2. Step 2: Convert to fraction form
    137,747,840/299,708,532 = 299,708,532/x
  3. Step 3: Cross multiply
    137,747,840x = 299,708,532 × 299,708,532
  4. Step 4: Simplify right side
    137,747,840x = 89,825,204,153,595,024
  5. Step 5: Solve for x
    x = 89,825,204,153,595,024/137,747,840
  6. Step 6: Final answer
    x = 652,098,821.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.