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Finding the Third Proportional to 7,305,728 and 11,635,103

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Solution

The third proportional to 7,305,728 and 11,635,103 is: 18,530,065.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,305,728 : 11,635,103 = 11,635,103 : x
  2. Step 2: Convert to fraction form
    7,305,728/11,635,103 = 11,635,103/x
  3. Step 3: Cross multiply
    7,305,728x = 11,635,103 × 11,635,103
  4. Step 4: Simplify right side
    7,305,728x = 135,375,621,820,609
  5. Step 5: Solve for x
    x = 135,375,621,820,609/7,305,728
  6. Step 6: Final answer
    x = 18,530,065.97

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.