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Finding the Third Proportional to 8,187,945,406.50 and 11,700,787,344

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Solution

The third proportional to 8,187,945,406.50 and 11,700,787,344 is: 16,720,730,008.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,187,945,406.50 : 11,700,787,344 = 11,700,787,344 : x
  2. Step 2: Convert to fraction form
    8,187,945,406.50/11,700,787,344 = 11,700,787,344/x
  3. Step 3: Cross multiply
    8,187,945,406.50x = 11,700,787,344 × 11,700,787,344
  4. Step 4: Simplify right side
    8,187,945,406.50x = 136,908,424,469,510,569,984
  5. Step 5: Solve for x
    x = 136,908,424,469,510,569,984/8,187,945,406.50
  6. Step 6: Final answer
    x = 16,720,730,008.88

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.