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Finding the Third Proportional to 52,023,978 and 120,472,074

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Solution

The third proportional to 52,023,978 and 120,472,074 is: 278,977,524.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,023,978 : 120,472,074 = 120,472,074 : x
  2. Step 2: Convert to fraction form
    52,023,978/120,472,074 = 120,472,074/x
  3. Step 3: Cross multiply
    52,023,978x = 120,472,074 × 120,472,074
  4. Step 4: Simplify right side
    52,023,978x = 14,513,520,613,861,476
  5. Step 5: Solve for x
    x = 14,513,520,613,861,476/52,023,978
  6. Step 6: Final answer
    x = 278,977,524.82

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.