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Finding the Third Proportional to 6,576,972,815 and 15,520,478,677

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Solution

The third proportional to 6,576,972,815 and 15,520,478,677 is: 36,625,551,775.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,576,972,815 : 15,520,478,677 = 15,520,478,677 : x
  2. Step 2: Convert to fraction form
    6,576,972,815/15,520,478,677 = 15,520,478,677/x
  3. Step 3: Cross multiply
    6,576,972,815x = 15,520,478,677 × 15,520,478,677
  4. Step 4: Simplify right side
    6,576,972,815x = 240,885,258,363,211,677,696
  5. Step 5: Solve for x
    x = 240,885,258,363,211,677,696/6,576,972,815
  6. Step 6: Final answer
    x = 36,625,551,775.71

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.