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Finding the Third Proportional to 49,344,796 and 106,926,923

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Solution

The third proportional to 49,344,796 and 106,926,923 is: 231,703,599.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,344,796 : 106,926,923 = 106,926,923 : x
  2. Step 2: Convert to fraction form
    49,344,796/106,926,923 = 106,926,923/x
  3. Step 3: Cross multiply
    49,344,796x = 106,926,923 × 106,926,923
  4. Step 4: Simplify right side
    49,344,796x = 11,433,366,862,247,928
  5. Step 5: Solve for x
    x = 11,433,366,862,247,928/49,344,796
  6. Step 6: Final answer
    x = 231,703,599.75

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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.