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Finding the Third Proportional to 5,305,493 and 11,367,321

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Solution

The third proportional to 5,305,493 and 11,367,321 is: 24,355,132.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,305,493 : 11,367,321 = 11,367,321 : x
  2. Step 2: Convert to fraction form
    5,305,493/11,367,321 = 11,367,321/x
  3. Step 3: Cross multiply
    5,305,493x = 11,367,321 × 11,367,321
  4. Step 4: Simplify right side
    5,305,493x = 129,215,986,717,041
  5. Step 5: Solve for x
    x = 129,215,986,717,041/5,305,493
  6. Step 6: Final answer
    x = 24,355,132.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.