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Finding the Third Proportional to 3,687,714 and 8,107,204.50

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Solution

The third proportional to 3,687,714 and 8,107,204.50 is: 17,823,173.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,687,714 : 8,107,204.50 = 8,107,204.50 : x
  2. Step 2: Convert to fraction form
    3,687,714/8,107,204.50 = 8,107,204.50/x
  3. Step 3: Cross multiply
    3,687,714x = 8,107,204.50 × 8,107,204.50
  4. Step 4: Simplify right side
    3,687,714x = 65,726,764,804,820.25
  5. Step 5: Solve for x
    x = 65,726,764,804,820.25/3,687,714
  6. Step 6: Final answer
    x = 17,823,173.06

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.