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Finding the Third Proportional to 17,728,128 and 27,770,256

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Solution

The third proportional to 17,728,128 and 27,770,256 is: 43,500,764.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,728,128 : 27,770,256 = 27,770,256 : x
  2. Step 2: Convert to fraction form
    17,728,128/27,770,256 = 27,770,256/x
  3. Step 3: Cross multiply
    17,728,128x = 27,770,256 × 27,770,256
  4. Step 4: Simplify right side
    17,728,128x = 771,187,118,305,536
  5. Step 5: Solve for x
    x = 771,187,118,305,536/17,728,128
  6. Step 6: Final answer
    x = 43,500,764.34

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.