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Finding the Third Proportional to 8,185,860 and 17,823,974.06

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Solution

The third proportional to 8,185,860 and 17,823,974.06 is: 38,810,100.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,185,860 : 17,823,974.06 = 17,823,974.06 : x
  2. Step 2: Convert to fraction form
    8,185,860/17,823,974.06 = 17,823,974.06/x
  3. Step 3: Cross multiply
    8,185,860x = 17,823,974.06 × 17,823,974.06
  4. Step 4: Simplify right side
    8,185,860x = 317,694,051,380,672.75
  5. Step 5: Solve for x
    x = 317,694,051,380,672.75/8,185,860
  6. Step 6: Final answer
    x = 38,810,100.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.