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Finding the Third Proportional to 11,698,549 and 25,246,742

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Solution

The third proportional to 11,698,549 and 25,246,742 is: 54,485,217.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,698,549 : 25,246,742 = 25,246,742 : x
  2. Step 2: Convert to fraction form
    11,698,549/25,246,742 = 25,246,742/x
  3. Step 3: Cross multiply
    11,698,549x = 25,246,742 × 25,246,742
  4. Step 4: Simplify right side
    11,698,549x = 637,397,981,614,564
  5. Step 5: Solve for x
    x = 637,397,981,614,564/11,698,549
  6. Step 6: Final answer
    x = 54,485,217.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.