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Finding the Third Proportional to 34,553,092 and 75,614,024

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Solution

The third proportional to 34,553,092 and 75,614,024 is: 165,469,435.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,553,092 : 75,614,024 = 75,614,024 : x
  2. Step 2: Convert to fraction form
    34,553,092/75,614,024 = 75,614,024/x
  3. Step 3: Cross multiply
    34,553,092x = 75,614,024 × 75,614,024
  4. Step 4: Simplify right side
    34,553,092x = 5,717,480,625,472,576
  5. Step 5: Solve for x
    x = 5,717,480,625,472,576/34,553,092
  6. Step 6: Final answer
    x = 165,469,435.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.