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Finding the Third Proportional to 5,748,556.50 and 12,517,713

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Solution

The third proportional to 5,748,556.50 and 12,517,713 is: 27,257,823.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,748,556.50 : 12,517,713 = 12,517,713 : x
  2. Step 2: Convert to fraction form
    5,748,556.50/12,517,713 = 12,517,713/x
  3. Step 3: Cross multiply
    5,748,556.50x = 12,517,713 × 12,517,713
  4. Step 4: Simplify right side
    5,748,556.50x = 156,693,138,750,369
  5. Step 5: Solve for x
    x = 156,693,138,750,369/5,748,556.50
  6. Step 6: Final answer
    x = 27,257,823.55

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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.