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Finding the Third Proportional to 3,778,512,882 and 8,199,296,815

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Solution

The third proportional to 3,778,512,882 and 8,199,296,815 is: 17,792,308,868.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778,512,882 : 8,199,296,815 = 8,199,296,815 : x
  2. Step 2: Convert to fraction form
    3,778,512,882/8,199,296,815 = 8,199,296,815/x
  3. Step 3: Cross multiply
    3,778,512,882x = 8,199,296,815 × 8,199,296,815
  4. Step 4: Simplify right side
    3,778,512,882x = 67,228,468,260,469,145,600
  5. Step 5: Solve for x
    x = 67,228,468,260,469,145,600/3,778,512,882
  6. Step 6: Final answer
    x = 17,792,308,868.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.