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Finding the Third Proportional to 5,415,660 and 11,894,256

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Solution

The third proportional to 5,415,660 and 11,894,256 is: 26,123,007.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,415,660 : 11,894,256 = 11,894,256 : x
  2. Step 2: Convert to fraction form
    5,415,660/11,894,256 = 11,894,256/x
  3. Step 3: Cross multiply
    5,415,660x = 11,894,256 × 11,894,256
  4. Step 4: Simplify right side
    5,415,660x = 141,473,325,793,536
  5. Step 5: Solve for x
    x = 141,473,325,793,536/5,415,660
  6. Step 6: Final answer
    x = 26,123,007.31

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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.