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Finding the Third Proportional to 3,271,971.50 and 6,998,839

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Solution

The third proportional to 3,271,971.50 and 6,998,839 is: 14,970,713.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,271,971.50 : 6,998,839 = 6,998,839 : x
  2. Step 2: Convert to fraction form
    3,271,971.50/6,998,839 = 6,998,839/x
  3. Step 3: Cross multiply
    3,271,971.50x = 6,998,839 × 6,998,839
  4. Step 4: Simplify right side
    3,271,971.50x = 48,983,747,347,921
  5. Step 5: Solve for x
    x = 48,983,747,347,921/3,271,971.50
  6. Step 6: Final answer
    x = 14,970,713.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.