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Finding the Third Proportional to 36,072,107 and 80,193,467

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Solution

The third proportional to 36,072,107 and 80,193,467 is: 178,281,577.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,072,107 : 80,193,467 = 80,193,467 : x
  2. Step 2: Convert to fraction form
    36,072,107/80,193,467 = 80,193,467/x
  3. Step 3: Cross multiply
    36,072,107x = 80,193,467 × 80,193,467
  4. Step 4: Simplify right side
    36,072,107x = 6,430,992,149,480,089
  5. Step 5: Solve for x
    x = 6,430,992,149,480,089/36,072,107
  6. Step 6: Final answer
    x = 178,281,577.77

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.