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Finding the Third Proportional to 24,234,120 and 51,873,156

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Solution

The third proportional to 24,234,120 and 51,873,156 is: 111,034,537.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,234,120 : 51,873,156 = 51,873,156 : x
  2. Step 2: Convert to fraction form
    24,234,120/51,873,156 = 51,873,156/x
  3. Step 3: Cross multiply
    24,234,120x = 51,873,156 × 51,873,156
  4. Step 4: Simplify right side
    24,234,120x = 2,690,824,313,400,336
  5. Step 5: Solve for x
    x = 2,690,824,313,400,336/24,234,120
  6. Step 6: Final answer
    x = 111,034,537.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.