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Finding the Third Proportional to 7,921,422 and 17,356,416.75

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Solution

The third proportional to 7,921,422 and 17,356,416.75 is: 38,029,182.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,921,422 : 17,356,416.75 = 17,356,416.75 : x
  2. Step 2: Convert to fraction form
    7,921,422/17,356,416.75 = 17,356,416.75/x
  3. Step 3: Cross multiply
    7,921,422x = 17,356,416.75 × 17,356,416.75
  4. Step 4: Simplify right side
    7,921,422x = 301,245,202,399,680.56
  5. Step 5: Solve for x
    x = 301,245,202,399,680.56/7,921,422
  6. Step 6: Final answer
    x = 38,029,182.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.