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Finding the Third Proportional to 49,408,067 and 107,321,556

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Solution

The third proportional to 49,408,067 and 107,321,556 is: 233,118,133.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,408,067 : 107,321,556 = 107,321,556 : x
  2. Step 2: Convert to fraction form
    49,408,067/107,321,556 = 107,321,556/x
  3. Step 3: Cross multiply
    49,408,067x = 107,321,556 × 107,321,556
  4. Step 4: Simplify right side
    49,408,067x = 11,517,916,382,261,136
  5. Step 5: Solve for x
    x = 11,517,916,382,261,136/49,408,067
  6. Step 6: Final answer
    x = 233,118,133.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.