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Finding the Third Proportional to 11,761,815 and 25,325,772

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Solution

The third proportional to 11,761,815 and 25,325,772 is: 54,531,951.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,761,815 : 25,325,772 = 25,325,772 : x
  2. Step 2: Convert to fraction form
    11,761,815/25,325,772 = 25,325,772/x
  3. Step 3: Cross multiply
    11,761,815x = 25,325,772 × 25,325,772
  4. Step 4: Simplify right side
    11,761,815x = 641,394,727,395,984
  5. Step 5: Solve for x
    x = 641,394,727,395,984/11,761,815
  6. Step 6: Final answer
    x = 54,531,951.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.