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Finding the Third Proportional to 16,550,469,536 and 24,801,375,792

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Solution

The third proportional to 16,550,469,536 and 24,801,375,792 is: 37,165,606,681.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,550,469,536 : 24,801,375,792 = 24,801,375,792 : x
  2. Step 2: Convert to fraction form
    16,550,469,536/24,801,375,792 = 24,801,375,792/x
  3. Step 3: Cross multiply
    16,550,469,536x = 24,801,375,792 × 24,801,375,792
  4. Step 4: Simplify right side
    16,550,469,536x = 615,108,241,176,003,608,576
  5. Step 5: Solve for x
    x = 615,108,241,176,003,608,576/16,550,469,536
  6. Step 6: Final answer
    x = 37,165,606,681.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.