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Finding the Third Proportional to 27,591,096 and 41,768,352

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Solution

The third proportional to 27,591,096 and 41,768,352 is: 63,230,370.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,591,096 : 41,768,352 = 41,768,352 : x
  2. Step 2: Convert to fraction form
    27,591,096/41,768,352 = 41,768,352/x
  3. Step 3: Cross multiply
    27,591,096x = 41,768,352 × 41,768,352
  4. Step 4: Simplify right side
    27,591,096x = 1,744,595,228,795,904
  5. Step 5: Solve for x
    x = 1,744,595,228,795,904/27,591,096
  6. Step 6: Final answer
    x = 63,230,370.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.