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Finding the Third Proportional to 219,354,676 and 476,469,608

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Solution

The third proportional to 219,354,676 and 476,469,608 is: 1,034,959,871.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,354,676 : 476,469,608 = 476,469,608 : x
  2. Step 2: Convert to fraction form
    219,354,676/476,469,608 = 476,469,608/x
  3. Step 3: Cross multiply
    219,354,676x = 476,469,608 × 476,469,608
  4. Step 4: Simplify right side
    219,354,676x = 227,023,287,347,673,664
  5. Step 5: Solve for x
    x = 227,023,287,347,673,664/219,354,676
  6. Step 6: Final answer
    x = 1,034,959,871.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.