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Finding the Third Proportional to 125,002,042 and 274,207,860

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Solution

The third proportional to 125,002,042 and 274,207,860 is: 601,509,777.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,002,042 : 274,207,860 = 274,207,860 : x
  2. Step 2: Convert to fraction form
    125,002,042/274,207,860 = 274,207,860/x
  3. Step 3: Cross multiply
    125,002,042x = 274,207,860 × 274,207,860
  4. Step 4: Simplify right side
    125,002,042x = 75,189,950,485,779,600
  5. Step 5: Solve for x
    x = 75,189,950,485,779,600/125,002,042
  6. Step 6: Final answer
    x = 601,509,777.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.