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Finding the Third Proportional to 24,217,830 and 37,397,523

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Solution

The third proportional to 24,217,830 and 37,397,523 is: 57,749,795.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,217,830 : 37,397,523 = 37,397,523 : x
  2. Step 2: Convert to fraction form
    24,217,830/37,397,523 = 37,397,523/x
  3. Step 3: Cross multiply
    24,217,830x = 37,397,523 × 37,397,523
  4. Step 4: Simplify right side
    24,217,830x = 1,398,574,726,535,529
  5. Step 5: Solve for x
    x = 1,398,574,726,535,529/24,217,830
  6. Step 6: Final answer
    x = 57,749,795.36

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.