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Finding the Third Proportional to 11,929,725 and 18,241,249.50

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Solution

The third proportional to 11,929,725 and 18,241,249.50 is: 27,891,940.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,929,725 : 18,241,249.50 = 18,241,249.50 : x
  2. Step 2: Convert to fraction form
    11,929,725/18,241,249.50 = 18,241,249.50/x
  3. Step 3: Cross multiply
    11,929,725x = 18,241,249.50 × 18,241,249.50
  4. Step 4: Simplify right side
    11,929,725x = 332,743,183,321,250.25
  5. Step 5: Solve for x
    x = 332,743,183,321,250.25/11,929,725
  6. Step 6: Final answer
    x = 27,891,940.79

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.