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Finding the Third Proportional to 41,677,941,404 and 56,233,328,229

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Solution

The third proportional to 41,677,941,404 and 56,233,328,229 is: 75,871,962,414.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,677,941,404 : 56,233,328,229 = 56,233,328,229 : x
  2. Step 2: Convert to fraction form
    41,677,941,404/56,233,328,229 = 56,233,328,229/x
  3. Step 3: Cross multiply
    41,677,941,404x = 56,233,328,229 × 56,233,328,229
  4. Step 4: Simplify right side
    41,677,941,404x = 3,162,187,203,710,448,304,128
  5. Step 5: Solve for x
    x = 3,162,187,203,710,448,304,128/41,677,941,404
  6. Step 6: Final answer
    x = 75,871,962,414.32

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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.