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Finding the Third Proportional to 6,108,658.31 and 8,976,000.38

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Solution

The third proportional to 6,108,658.31 and 8,976,000.38 is: 13,189,243.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,108,658.31 : 8,976,000.38 = 8,976,000.38 : x
  2. Step 2: Convert to fraction form
    6,108,658.31/8,976,000.38 = 8,976,000.38/x
  3. Step 3: Cross multiply
    6,108,658.31x = 8,976,000.38 × 8,976,000.38
  4. Step 4: Simplify right side
    6,108,658.31x = 80,568,582,732,000.14
  5. Step 5: Solve for x
    x = 80,568,582,732,000.14/6,108,658.31
  6. Step 6: Final answer
    x = 13,189,243.63

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.