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Finding the Third Proportional to 41,512,342,704.75 and 61,996,486,978.13

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Solution

The third proportional to 41,512,342,704.75 and 61,996,486,978.13 is: 92,588,472,420.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,512,342,704.75 : 61,996,486,978.13 = 61,996,486,978.13 : x
  2. Step 2: Convert to fraction form
    41,512,342,704.75/61,996,486,978.13 = 61,996,486,978.13/x
  3. Step 3: Cross multiply
    41,512,342,704.75x = 61,996,486,978.13 × 61,996,486,978.13
  4. Step 4: Simplify right side
    41,512,342,704.75x = 3,843,564,397,628,822,650,880
  5. Step 5: Solve for x
    x = 3,843,564,397,628,822,650,880/41,512,342,704.75
  6. Step 6: Final answer
    x = 92,588,472,420.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.