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Finding the Third Proportional to 47,769,978 and 72,050,817

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Solution

The third proportional to 47,769,978 and 72,050,817 is: 108,673,280.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,769,978 : 72,050,817 = 72,050,817 : x
  2. Step 2: Convert to fraction form
    47,769,978/72,050,817 = 72,050,817/x
  3. Step 3: Cross multiply
    47,769,978x = 72,050,817 × 72,050,817
  4. Step 4: Simplify right side
    47,769,978x = 5,191,320,230,367,489
  5. Step 5: Solve for x
    x = 5,191,320,230,367,489/47,769,978
  6. Step 6: Final answer
    x = 108,673,280.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.