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Finding the Third Proportional to 5,305,941 and 11,368,962

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Solution

The third proportional to 5,305,941 and 11,368,962 is: 24,360,108.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,305,941 : 11,368,962 = 11,368,962 : x
  2. Step 2: Convert to fraction form
    5,305,941/11,368,962 = 11,368,962/x
  3. Step 3: Cross multiply
    5,305,941x = 11,368,962 × 11,368,962
  4. Step 4: Simplify right side
    5,305,941x = 129,253,296,957,444
  5. Step 5: Solve for x
    x = 129,253,296,957,444/5,305,941
  6. Step 6: Final answer
    x = 24,360,108.22

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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.