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Finding the Third Proportional to 2,538,511.50 and 5,286,975

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Solution

The third proportional to 2,538,511.50 and 5,286,975 is: 11,011,218.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,538,511.50 : 5,286,975 = 5,286,975 : x
  2. Step 2: Convert to fraction form
    2,538,511.50/5,286,975 = 5,286,975/x
  3. Step 3: Cross multiply
    2,538,511.50x = 5,286,975 × 5,286,975
  4. Step 4: Simplify right side
    2,538,511.50x = 27,952,104,650,625
  5. Step 5: Solve for x
    x = 27,952,104,650,625/2,538,511.50
  6. Step 6: Final answer
    x = 11,011,218.44

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.