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Finding the Third Proportional to 17,653,831 and 38,012,843

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Solution

The third proportional to 17,653,831 and 38,012,843 is: 81,850,575.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,653,831 : 38,012,843 = 38,012,843 : x
  2. Step 2: Convert to fraction form
    17,653,831/38,012,843 = 38,012,843/x
  3. Step 3: Cross multiply
    17,653,831x = 38,012,843 × 38,012,843
  4. Step 4: Simplify right side
    17,653,831x = 1,444,976,232,942,649
  5. Step 5: Solve for x
    x = 1,444,976,232,942,649/17,653,831
  6. Step 6: Final answer
    x = 81,850,575.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.