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Finding the Third Proportional to 41,677,941,399 and 56,233,328,224.50

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Solution

The third proportional to 41,677,941,399 and 56,233,328,224.50 is: 75,871,962,411.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,677,941,399 : 56,233,328,224.50 = 56,233,328,224.50 : x
  2. Step 2: Convert to fraction form
    41,677,941,399/56,233,328,224.50 = 56,233,328,224.50/x
  3. Step 3: Cross multiply
    41,677,941,399x = 56,233,328,224.50 × 56,233,328,224.50
  4. Step 4: Simplify right side
    41,677,941,399x = 3,162,187,203,204,348,379,136
  5. Step 5: Solve for x
    x = 3,162,187,203,204,348,379,136/41,677,941,399
  6. Step 6: Final answer
    x = 75,871,962,411.28

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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.