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Finding the Third Proportional to 77,881,744 and 166,187,720

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Solution

The third proportional to 77,881,744 and 166,187,720 is: 354,619,155.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,881,744 : 166,187,720 = 166,187,720 : x
  2. Step 2: Convert to fraction form
    77,881,744/166,187,720 = 166,187,720/x
  3. Step 3: Cross multiply
    77,881,744x = 166,187,720 × 166,187,720
  4. Step 4: Simplify right side
    77,881,744x = 27,618,358,278,798,400
  5. Step 5: Solve for x
    x = 27,618,358,278,798,400/77,881,744
  6. Step 6: Final answer
    x = 354,619,155.41

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.