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Finding the Third Proportional to 41,677,941,401 and 56,233,328,227

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Solution

The third proportional to 41,677,941,401 and 56,233,328,227 is: 75,871,962,414.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,677,941,401 : 56,233,328,227 = 56,233,328,227 : x
  2. Step 2: Convert to fraction form
    41,677,941,401/56,233,328,227 = 56,233,328,227/x
  3. Step 3: Cross multiply
    41,677,941,401x = 56,233,328,227 × 56,233,328,227
  4. Step 4: Simplify right side
    41,677,941,401x = 3,162,187,203,485,515,120,640
  5. Step 5: Solve for x
    x = 3,162,187,203,485,515,120,640/41,677,941,401
  6. Step 6: Final answer
    x = 75,871,962,414.38

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.