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Finding the Third Proportional to 9,606,188 and 20,585,265

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Solution

The third proportional to 9,606,188 and 20,585,265 is: 44,112,517.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,606,188 : 20,585,265 = 20,585,265 : x
  2. Step 2: Convert to fraction form
    9,606,188/20,585,265 = 20,585,265/x
  3. Step 3: Cross multiply
    9,606,188x = 20,585,265 × 20,585,265
  4. Step 4: Simplify right side
    9,606,188x = 423,753,135,120,225
  5. Step 5: Solve for x
    x = 423,753,135,120,225/9,606,188
  6. Step 6: Final answer
    x = 44,112,517.38

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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.