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Finding the Third Proportional to 5,921,544 and 12,741,216

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Solution

The third proportional to 5,921,544 and 12,741,216 is: 27,414,908.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,921,544 : 12,741,216 = 12,741,216 : x
  2. Step 2: Convert to fraction form
    5,921,544/12,741,216 = 12,741,216/x
  3. Step 3: Cross multiply
    5,921,544x = 12,741,216 × 12,741,216
  4. Step 4: Simplify right side
    5,921,544x = 162,338,585,158,656
  5. Step 5: Solve for x
    x = 162,338,585,158,656/5,921,544
  6. Step 6: Final answer
    x = 27,414,908.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.