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Finding the Third Proportional to 41,132,321 and 83,701,147

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Solution

The third proportional to 41,132,321 and 83,701,147 is: 170,325,472.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,132,321 : 83,701,147 = 83,701,147 : x
  2. Step 2: Convert to fraction form
    41,132,321/83,701,147 = 83,701,147/x
  3. Step 3: Cross multiply
    41,132,321x = 83,701,147 × 83,701,147
  4. Step 4: Simplify right side
    41,132,321x = 7,005,882,009,115,609
  5. Step 5: Solve for x
    x = 7,005,882,009,115,609/41,132,321
  6. Step 6: Final answer
    x = 170,325,472.49

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.