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Finding the Third Proportional to 7,305,734 and 11,635,112

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Solution

The third proportional to 7,305,734 and 11,635,112 is: 18,530,079.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,305,734 : 11,635,112 = 11,635,112 : x
  2. Step 2: Convert to fraction form
    7,305,734/11,635,112 = 11,635,112/x
  3. Step 3: Cross multiply
    7,305,734x = 11,635,112 × 11,635,112
  4. Step 4: Simplify right side
    7,305,734x = 135,375,831,252,544
  5. Step 5: Solve for x
    x = 135,375,831,252,544/7,305,734
  6. Step 6: Final answer
    x = 18,530,079.42

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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.