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Finding the Third Proportional to 16,591,775,424 and 24,257,755,620

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Solution

The third proportional to 16,591,775,424 and 24,257,755,620 is: 35,465,686,623.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,591,775,424 : 24,257,755,620 = 24,257,755,620 : x
  2. Step 2: Convert to fraction form
    16,591,775,424/24,257,755,620 = 24,257,755,620/x
  3. Step 3: Cross multiply
    16,591,775,424x = 24,257,755,620 × 24,257,755,620
  4. Step 4: Simplify right side
    16,591,775,424x = 588,438,707,719,641,563,136
  5. Step 5: Solve for x
    x = 588,438,707,719,641,563,136/16,591,775,424
  6. Step 6: Final answer
    x = 35,465,686,623.78

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.