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Finding the Third Proportional to 8,589,606 and 18,524,214

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Solution

The third proportional to 8,589,606 and 18,524,214 is: 39,949,038.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,589,606 : 18,524,214 = 18,524,214 : x
  2. Step 2: Convert to fraction form
    8,589,606/18,524,214 = 18,524,214/x
  3. Step 3: Cross multiply
    8,589,606x = 18,524,214 × 18,524,214
  4. Step 4: Simplify right side
    8,589,606x = 343,146,504,317,796
  5. Step 5: Solve for x
    x = 343,146,504,317,796/8,589,606
  6. Step 6: Final answer
    x = 39,949,038.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.