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Finding the Third Proportional to 6,206,586 and 9,687,142

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Solution

The third proportional to 6,206,586 and 9,687,142 is: 15,119,539.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,206,586 : 9,687,142 = 9,687,142 : x
  2. Step 2: Convert to fraction form
    6,206,586/9,687,142 = 9,687,142/x
  3. Step 3: Cross multiply
    6,206,586x = 9,687,142 × 9,687,142
  4. Step 4: Simplify right side
    6,206,586x = 93,840,720,128,164
  5. Step 5: Solve for x
    x = 93,840,720,128,164/6,206,586
  6. Step 6: Final answer
    x = 15,119,539.17

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.