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Finding the Third Proportional to 9,214,554 and 13,640,517

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Solution

The third proportional to 9,214,554 and 13,640,517 is: 20,192,372.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,214,554 : 13,640,517 = 13,640,517 : x
  2. Step 2: Convert to fraction form
    9,214,554/13,640,517 = 13,640,517/x
  3. Step 3: Cross multiply
    9,214,554x = 13,640,517 × 13,640,517
  4. Step 4: Simplify right side
    9,214,554x = 186,063,704,027,289
  5. Step 5: Solve for x
    x = 186,063,704,027,289/9,214,554
  6. Step 6: Final answer
    x = 20,192,372.20

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.