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Finding the Third Proportional to 49,344,794 and 106,926,919

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Solution

The third proportional to 49,344,794 and 106,926,919 is: 231,703,591.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,344,794 : 106,926,919 = 106,926,919 : x
  2. Step 2: Convert to fraction form
    49,344,794/106,926,919 = 106,926,919/x
  3. Step 3: Cross multiply
    49,344,794x = 106,926,919 × 106,926,919
  4. Step 4: Simplify right side
    49,344,794x = 11,433,366,006,832,560
  5. Step 5: Solve for x
    x = 11,433,366,006,832,560/49,344,794
  6. Step 6: Final answer
    x = 231,703,591.81

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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.