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Finding the Third Proportional to 26,431,016 and 37,221,256

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Solution

The third proportional to 26,431,016 and 37,221,256 is: 52,416,520.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,431,016 : 37,221,256 = 37,221,256 : x
  2. Step 2: Convert to fraction form
    26,431,016/37,221,256 = 37,221,256/x
  3. Step 3: Cross multiply
    26,431,016x = 37,221,256 × 37,221,256
  4. Step 4: Simplify right side
    26,431,016x = 1,385,421,898,217,536
  5. Step 5: Solve for x
    x = 1,385,421,898,217,536/26,431,016
  6. Step 6: Final answer
    x = 52,416,520.74

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.