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Finding the Third Proportional to 50,769,100 and 77,344,027

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Solution

The third proportional to 50,769,100 and 77,344,027 is: 117,829,516.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,769,100 : 77,344,027 = 77,344,027 : x
  2. Step 2: Convert to fraction form
    50,769,100/77,344,027 = 77,344,027/x
  3. Step 3: Cross multiply
    50,769,100x = 77,344,027 × 77,344,027
  4. Step 4: Simplify right side
    50,769,100x = 5,982,098,512,576,729
  5. Step 5: Solve for x
    x = 5,982,098,512,576,729/50,769,100
  6. Step 6: Final answer
    x = 117,829,516.63

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.