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Finding the Third Proportional to 11,823,341 and 25,469,899

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Solution

The third proportional to 11,823,341 and 25,469,899 is: 54,867,380.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,823,341 : 25,469,899 = 25,469,899 : x
  2. Step 2: Convert to fraction form
    11,823,341/25,469,899 = 25,469,899/x
  3. Step 3: Cross multiply
    11,823,341x = 25,469,899 × 25,469,899
  4. Step 4: Simplify right side
    11,823,341x = 648,715,755,070,201
  5. Step 5: Solve for x
    x = 648,715,755,070,201/11,823,341
  6. Step 6: Final answer
    x = 54,867,380.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.