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Finding the Third Proportional to 4,023,474 and 8,622,216

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Solution

The third proportional to 4,023,474 and 8,622,216 is: 18,477,218.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,023,474 : 8,622,216 = 8,622,216 : x
  2. Step 2: Convert to fraction form
    4,023,474/8,622,216 = 8,622,216/x
  3. Step 3: Cross multiply
    4,023,474x = 8,622,216 × 8,622,216
  4. Step 4: Simplify right side
    4,023,474x = 74,342,608,750,656
  5. Step 5: Solve for x
    x = 74,342,608,750,656/4,023,474
  6. Step 6: Final answer
    x = 18,477,218.63

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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.