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Finding the Third Proportional to 49,344,789 and 106,926,909

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Solution

The third proportional to 49,344,789 and 106,926,909 is: 231,703,571.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,344,789 : 106,926,909 = 106,926,909 : x
  2. Step 2: Convert to fraction form
    49,344,789/106,926,909 = 106,926,909/x
  3. Step 3: Cross multiply
    49,344,789x = 106,926,909 × 106,926,909
  4. Step 4: Simplify right side
    49,344,789x = 11,433,363,868,294,280
  5. Step 5: Solve for x
    x = 11,433,363,868,294,280/49,344,789
  6. Step 6: Final answer
    x = 231,703,571.95

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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.