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Finding the Third Proportional to 15,971,578 and 24,823,671

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Solution

The third proportional to 15,971,578 and 24,823,671 is: 38,581,951.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,971,578 : 24,823,671 = 24,823,671 : x
  2. Step 2: Convert to fraction form
    15,971,578/24,823,671 = 24,823,671/x
  3. Step 3: Cross multiply
    15,971,578x = 24,823,671 × 24,823,671
  4. Step 4: Simplify right side
    15,971,578x = 616,214,641,916,241
  5. Step 5: Solve for x
    x = 616,214,641,916,241/15,971,578
  6. Step 6: Final answer
    x = 38,581,951.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.