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Finding the Third Proportional to 24,229,846 and 51,865,569

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Solution

The third proportional to 24,229,846 and 51,865,569 is: 111,021,640.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,229,846 : 51,865,569 = 51,865,569 : x
  2. Step 2: Convert to fraction form
    24,229,846/51,865,569 = 51,865,569/x
  3. Step 3: Cross multiply
    24,229,846x = 51,865,569 × 51,865,569
  4. Step 4: Simplify right side
    24,229,846x = 2,690,037,247,693,761
  5. Step 5: Solve for x
    x = 2,690,037,247,693,761/24,229,846
  6. Step 6: Final answer
    x = 111,021,640.32

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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.