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Finding the Third Proportional to 2,534,209.50 and 5,514,567

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Solution

The third proportional to 2,534,209.50 and 5,514,567 is: 11,999,974.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,534,209.50 : 5,514,567 = 5,514,567 : x
  2. Step 2: Convert to fraction form
    2,534,209.50/5,514,567 = 5,514,567/x
  3. Step 3: Cross multiply
    2,534,209.50x = 5,514,567 × 5,514,567
  4. Step 4: Simplify right side
    2,534,209.50x = 30,410,449,197,489
  5. Step 5: Solve for x
    x = 30,410,449,197,489/2,534,209.50
  6. Step 6: Final answer
    x = 11,999,974.43

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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.