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Finding the Third Proportional to 3,251,664.75 and 7,147,047

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Solution

The third proportional to 3,251,664.75 and 7,147,047 is: 15,708,962.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,251,664.75 : 7,147,047 = 7,147,047 : x
  2. Step 2: Convert to fraction form
    3,251,664.75/7,147,047 = 7,147,047/x
  3. Step 3: Cross multiply
    3,251,664.75x = 7,147,047 × 7,147,047
  4. Step 4: Simplify right side
    3,251,664.75x = 51,080,280,820,209
  5. Step 5: Solve for x
    x = 51,080,280,820,209/3,251,664.75
  6. Step 6: Final answer
    x = 15,708,962.87

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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.