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Finding the Third Proportional to 4,251,405,812 and 5,984,307,387

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Solution

The third proportional to 4,251,405,812 and 5,984,307,387 is: 8,423,551,287.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,251,405,812 : 5,984,307,387 = 5,984,307,387 : x
  2. Step 2: Convert to fraction form
    4,251,405,812/5,984,307,387 = 5,984,307,387/x
  3. Step 3: Cross multiply
    4,251,405,812x = 5,984,307,387 × 5,984,307,387
  4. Step 4: Simplify right side
    4,251,405,812x = 35,811,934,902,102,769,664
  5. Step 5: Solve for x
    x = 35,811,934,902,102,769,664/4,251,405,812
  6. Step 6: Final answer
    x = 8,423,551,287.68

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.