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Finding the Third Proportional to 41,749,204 and 84,672,296

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Solution

The third proportional to 41,749,204 and 84,672,296 is: 171,725,374.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,749,204 : 84,672,296 = 84,672,296 : x
  2. Step 2: Convert to fraction form
    41,749,204/84,672,296 = 84,672,296/x
  3. Step 3: Cross multiply
    41,749,204x = 84,672,296 × 84,672,296
  4. Step 4: Simplify right side
    41,749,204x = 7,169,397,709,911,616
  5. Step 5: Solve for x
    x = 7,169,397,709,911,616/41,749,204
  6. Step 6: Final answer
    x = 171,725,374.93

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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.