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Finding the Third Proportional to 538,605,168 and 1,177,987,104

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Solution

The third proportional to 538,605,168 and 1,177,987,104 is: 2,576,383,777.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,605,168 : 1,177,987,104 = 1,177,987,104 : x
  2. Step 2: Convert to fraction form
    538,605,168/1,177,987,104 = 1,177,987,104/x
  3. Step 3: Cross multiply
    538,605,168x = 1,177,987,104 × 1,177,987,104
  4. Step 4: Simplify right side
    538,605,168x = 1,387,653,617,190,306,816
  5. Step 5: Solve for x
    x = 1,387,653,617,190,306,816/538,605,168
  6. Step 6: Final answer
    x = 2,576,383,777.27

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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.