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Finding the Third Proportional to 77,591,882 and 116,711,769

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Solution

The third proportional to 77,591,882 and 116,711,769 is: 175,554,924.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,591,882 : 116,711,769 = 116,711,769 : x
  2. Step 2: Convert to fraction form
    77,591,882/116,711,769 = 116,711,769/x
  3. Step 3: Cross multiply
    77,591,882x = 116,711,769 × 116,711,769
  4. Step 4: Simplify right side
    77,591,882x = 13,621,637,023,109,360
  5. Step 5: Solve for x
    x = 13,621,637,023,109,360/77,591,882
  6. Step 6: Final answer
    x = 175,554,924.97

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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.