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Finding the Third Proportional to 11,823,344 and 25,469,905

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Solution

The third proportional to 11,823,344 and 25,469,905 is: 54,867,392.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,823,344 : 25,469,905 = 25,469,905 : x
  2. Step 2: Convert to fraction form
    11,823,344/25,469,905 = 25,469,905/x
  3. Step 3: Cross multiply
    11,823,344x = 25,469,905 × 25,469,905
  4. Step 4: Simplify right side
    11,823,344x = 648,716,060,709,025
  5. Step 5: Solve for x
    x = 648,716,060,709,025/11,823,344
  6. Step 6: Final answer
    x = 54,867,392.91

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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.