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Finding the Third Proportional to 538,605,170 and 1,177,987,108

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Solution

The third proportional to 538,605,170 and 1,177,987,108 is: 2,576,383,785.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,605,170 : 1,177,987,108 = 1,177,987,108 : x
  2. Step 2: Convert to fraction form
    538,605,170/1,177,987,108 = 1,177,987,108/x
  3. Step 3: Cross multiply
    538,605,170x = 1,177,987,108 × 1,177,987,108
  4. Step 4: Simplify right side
    538,605,170x = 1,387,653,626,614,203,648
  5. Step 5: Solve for x
    x = 1,387,653,626,614,203,648/538,605,170
  6. Step 6: Final answer
    x = 2,576,383,785.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.