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Finding the Third Proportional to 11,660,256 and 25,616,160

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Solution

The third proportional to 11,660,256 and 25,616,160 is: 56,275,578.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,660,256 : 25,616,160 = 25,616,160 : x
  2. Step 2: Convert to fraction form
    11,660,256/25,616,160 = 25,616,160/x
  3. Step 3: Cross multiply
    11,660,256x = 25,616,160 × 25,616,160
  4. Step 4: Simplify right side
    11,660,256x = 656,187,653,145,600
  5. Step 5: Solve for x
    x = 656,187,653,145,600/11,660,256
  6. Step 6: Final answer
    x = 56,275,578.61

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.