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Finding the Third Proportional to 38,524,296 and 80,237,256

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Solution

The third proportional to 38,524,296 and 80,237,256 is: 167,115,766.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,524,296 : 80,237,256 = 80,237,256 : x
  2. Step 2: Convert to fraction form
    38,524,296/80,237,256 = 80,237,256/x
  3. Step 3: Cross multiply
    38,524,296x = 80,237,256 × 80,237,256
  4. Step 4: Simplify right side
    38,524,296x = 6,438,017,250,409,536
  5. Step 5: Solve for x
    x = 6,438,017,250,409,536/38,524,296
  6. Step 6: Final answer
    x = 167,115,766.38

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.