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Finding the Third Proportional to 64,250,878 and 97,882,067

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Solution

The third proportional to 64,250,878 and 97,882,067 is: 149,117,013.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,250,878 : 97,882,067 = 97,882,067 : x
  2. Step 2: Convert to fraction form
    64,250,878/97,882,067 = 97,882,067/x
  3. Step 3: Cross multiply
    64,250,878x = 97,882,067 × 97,882,067
  4. Step 4: Simplify right side
    64,250,878x = 9,580,899,040,192,488
  5. Step 5: Solve for x
    x = 9,580,899,040,192,488/64,250,878
  6. Step 6: Final answer
    x = 149,117,013.47

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.