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Finding the Third Proportional to 2,336,421 and 5,071,422

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Solution

The third proportional to 2,336,421 and 5,071,422 is: 11,007,999.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,336,421 : 5,071,422 = 5,071,422 : x
  2. Step 2: Convert to fraction form
    2,336,421/5,071,422 = 5,071,422/x
  3. Step 3: Cross multiply
    2,336,421x = 5,071,422 × 5,071,422
  4. Step 4: Simplify right side
    2,336,421x = 25,719,321,102,084
  5. Step 5: Solve for x
    x = 25,719,321,102,084/2,336,421
  6. Step 6: Final answer
    x = 11,007,999.46

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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.