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Finding the Third Proportional to 51,306,842 and 77,027,811

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Solution

The third proportional to 51,306,842 and 77,027,811 is: 115,643,127.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,306,842 : 77,027,811 = 77,027,811 : x
  2. Step 2: Convert to fraction form
    51,306,842/77,027,811 = 77,027,811/x
  3. Step 3: Cross multiply
    51,306,842x = 77,027,811 × 77,027,811
  4. Step 4: Simplify right side
    51,306,842x = 5,933,283,667,451,721
  5. Step 5: Solve for x
    x = 5,933,283,667,451,721/51,306,842
  6. Step 6: Final answer
    x = 115,643,127.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.