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Finding the Third Proportional to 9,606,098 and 14,858,036

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Solution

The third proportional to 9,606,098 and 14,858,036 is: 22,981,363.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,606,098 : 14,858,036 = 14,858,036 : x
  2. Step 2: Convert to fraction form
    9,606,098/14,858,036 = 14,858,036/x
  3. Step 3: Cross multiply
    9,606,098x = 14,858,036 × 14,858,036
  4. Step 4: Simplify right side
    9,606,098x = 220,761,233,777,296
  5. Step 5: Solve for x
    x = 220,761,233,777,296/9,606,098
  6. Step 6: Final answer
    x = 22,981,363.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.