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Finding the Third Proportional to 36,836,413 and 80,207,966

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Solution

The third proportional to 36,836,413 and 80,207,966 is: 174,645,609.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,836,413 : 80,207,966 = 80,207,966 : x
  2. Step 2: Convert to fraction form
    36,836,413/80,207,966 = 80,207,966/x
  3. Step 3: Cross multiply
    36,836,413x = 80,207,966 × 80,207,966
  4. Step 4: Simplify right side
    36,836,413x = 6,433,317,809,857,156
  5. Step 5: Solve for x
    x = 6,433,317,809,857,156/36,836,413
  6. Step 6: Final answer
    x = 174,645,609.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.