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Finding the Third Proportional to 4,399,002 and 9,200,214

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Solution

The third proportional to 4,399,002 and 9,200,214 is: 19,241,622.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,399,002 : 9,200,214 = 9,200,214 : x
  2. Step 2: Convert to fraction form
    4,399,002/9,200,214 = 9,200,214/x
  3. Step 3: Cross multiply
    4,399,002x = 9,200,214 × 9,200,214
  4. Step 4: Simplify right side
    4,399,002x = 84,643,937,645,796
  5. Step 5: Solve for x
    x = 84,643,937,645,796/4,399,002
  6. Step 6: Final answer
    x = 19,241,622.91

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.