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Finding the Third Proportional to 24,835,910 and 54,288,822

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Solution

The third proportional to 24,835,910 and 54,288,822 is: 118,669,949.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,835,910 : 54,288,822 = 54,288,822 : x
  2. Step 2: Convert to fraction form
    24,835,910/54,288,822 = 54,288,822/x
  3. Step 3: Cross multiply
    24,835,910x = 54,288,822 × 54,288,822
  4. Step 4: Simplify right side
    24,835,910x = 2,947,276,194,147,684
  5. Step 5: Solve for x
    x = 2,947,276,194,147,684/24,835,910
  6. Step 6: Final answer
    x = 118,669,949.85

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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.