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Finding the Third Proportional to 52,023,912 and 120,471,909

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Solution

The third proportional to 52,023,912 and 120,471,909 is: 278,977,114.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,023,912 : 120,471,909 = 120,471,909 : x
  2. Step 2: Convert to fraction form
    52,023,912/120,471,909 = 120,471,909/x
  3. Step 3: Cross multiply
    52,023,912x = 120,471,909 × 120,471,909
  4. Step 4: Simplify right side
    52,023,912x = 14,513,480,858,104,280
  5. Step 5: Solve for x
    x = 14,513,480,858,104,280/52,023,912
  6. Step 6: Final answer
    x = 278,977,114.56

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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.