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Finding the Third Proportional to 11,823,195 and 25,469,619

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Solution

The third proportional to 11,823,195 and 25,469,619 is: 54,866,852.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,823,195 : 25,469,619 = 25,469,619 : x
  2. Step 2: Convert to fraction form
    11,823,195/25,469,619 = 25,469,619/x
  3. Step 3: Cross multiply
    11,823,195x = 25,469,619 × 25,469,619
  4. Step 4: Simplify right side
    11,823,195x = 648,701,492,005,161
  5. Step 5: Solve for x
    x = 648,701,492,005,161/11,823,195
  6. Step 6: Final answer
    x = 54,866,852.15

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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.