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Finding the Third Proportional to 538,605,171 and 1,177,987,109

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Solution

The third proportional to 538,605,171 and 1,177,987,109 is: 2,576,383,784.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,605,171 : 1,177,987,109 = 1,177,987,109 : x
  2. Step 2: Convert to fraction form
    538,605,171/1,177,987,109 = 1,177,987,109/x
  3. Step 3: Cross multiply
    538,605,171x = 1,177,987,109 × 1,177,987,109
  4. Step 4: Simplify right side
    538,605,171x = 1,387,653,628,970,177,792
  5. Step 5: Solve for x
    x = 1,387,653,628,970,177,792/538,605,171
  6. Step 6: Final answer
    x = 2,576,383,784.79

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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.