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Finding the Third Proportional to 8,103,098 and 17,290,948

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Solution

The third proportional to 8,103,098 and 17,290,948 is: 36,896,614.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,103,098 : 17,290,948 = 17,290,948 : x
  2. Step 2: Convert to fraction form
    8,103,098/17,290,948 = 17,290,948/x
  3. Step 3: Cross multiply
    8,103,098x = 17,290,948 × 17,290,948
  4. Step 4: Simplify right side
    8,103,098x = 298,976,882,738,704
  5. Step 5: Solve for x
    x = 298,976,882,738,704/8,103,098
  6. Step 6: Final answer
    x = 36,896,614.45

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.