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Finding the Third Proportional to 7,305,726 and 11,635,100

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Solution

The third proportional to 7,305,726 and 11,635,100 is: 18,530,061.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,305,726 : 11,635,100 = 11,635,100 : x
  2. Step 2: Convert to fraction form
    7,305,726/11,635,100 = 11,635,100/x
  3. Step 3: Cross multiply
    7,305,726x = 11,635,100 × 11,635,100
  4. Step 4: Simplify right side
    7,305,726x = 135,375,552,010,000
  5. Step 5: Solve for x
    x = 135,375,552,010,000/7,305,726
  6. Step 6: Final answer
    x = 18,530,061.49

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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.