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Finding the Third Proportional to 2,335,002 and 5,068,564

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Solution

The third proportional to 2,335,002 and 5,068,564 is: 11,002,277.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,335,002 : 5,068,564 = 5,068,564 : x
  2. Step 2: Convert to fraction form
    2,335,002/5,068,564 = 5,068,564/x
  3. Step 3: Cross multiply
    2,335,002x = 5,068,564 × 5,068,564
  4. Step 4: Simplify right side
    2,335,002x = 25,690,341,022,096
  5. Step 5: Solve for x
    x = 25,690,341,022,096/2,335,002
  6. Step 6: Final answer
    x = 11,002,277.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.