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Finding the Third Proportional to 33,717,471 and 73,103,645

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Solution

The third proportional to 33,717,471 and 73,103,645 is: 158,497,738.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,717,471 : 73,103,645 = 73,103,645 : x
  2. Step 2: Convert to fraction form
    33,717,471/73,103,645 = 73,103,645/x
  3. Step 3: Cross multiply
    33,717,471x = 73,103,645 × 73,103,645
  4. Step 4: Simplify right side
    33,717,471x = 5,344,142,912,286,025
  5. Step 5: Solve for x
    x = 5,344,142,912,286,025/33,717,471
  6. Step 6: Final answer
    x = 158,497,738.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.