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Finding the Third Proportional to 23,681,496 and 51,791,856

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Solution

The third proportional to 23,681,496 and 51,791,856 is: 113,269,716.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,681,496 : 51,791,856 = 51,791,856 : x
  2. Step 2: Convert to fraction form
    23,681,496/51,791,856 = 51,791,856/x
  3. Step 3: Cross multiply
    23,681,496x = 51,791,856 × 51,791,856
  4. Step 4: Simplify right side
    23,681,496x = 2,682,396,347,924,736
  5. Step 5: Solve for x
    x = 2,682,396,347,924,736/23,681,496
  6. Step 6: Final answer
    x = 113,269,716.91

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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.