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Finding the Third Proportional to 73,668,524 and 122,773,474

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Solution

The third proportional to 73,668,524 and 122,773,474 is: 204,610,125.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,668,524 : 122,773,474 = 122,773,474 : x
  2. Step 2: Convert to fraction form
    73,668,524/122,773,474 = 122,773,474/x
  3. Step 3: Cross multiply
    73,668,524x = 122,773,474 × 122,773,474
  4. Step 4: Simplify right side
    73,668,524x = 15,073,325,918,028,676
  5. Step 5: Solve for x
    x = 15,073,325,918,028,676/73,668,524
  6. Step 6: Final answer
    x = 204,610,125.19

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.