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Finding the Third Proportional to 11,823,273 and 25,469,775

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Solution

The third proportional to 11,823,273 and 25,469,775 is: 54,867,162.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,823,273 : 25,469,775 = 25,469,775 : x
  2. Step 2: Convert to fraction form
    11,823,273/25,469,775 = 25,469,775/x
  3. Step 3: Cross multiply
    11,823,273x = 25,469,775 × 25,469,775
  4. Step 4: Simplify right side
    11,823,273x = 648,709,438,550,625
  5. Step 5: Solve for x
    x = 648,709,438,550,625/11,823,273
  6. Step 6: Final answer
    x = 54,867,162.30

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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.