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Finding the Third Proportional to 11,145,809 and 15,695,743

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Solution

The third proportional to 11,145,809 and 15,695,743 is: 22,103,047.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,145,809 : 15,695,743 = 15,695,743 : x
  2. Step 2: Convert to fraction form
    11,145,809/15,695,743 = 15,695,743/x
  3. Step 3: Cross multiply
    11,145,809x = 15,695,743 × 15,695,743
  4. Step 4: Simplify right side
    11,145,809x = 246,356,348,322,049
  5. Step 5: Solve for x
    x = 246,356,348,322,049/11,145,809
  6. Step 6: Final answer
    x = 22,103,047.73

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.