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Finding the Third Proportional to 6,375,544 and 13,758,608

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Solution

The third proportional to 6,375,544 and 13,758,608 is: 29,691,473.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,375,544 : 13,758,608 = 13,758,608 : x
  2. Step 2: Convert to fraction form
    6,375,544/13,758,608 = 13,758,608/x
  3. Step 3: Cross multiply
    6,375,544x = 13,758,608 × 13,758,608
  4. Step 4: Simplify right side
    6,375,544x = 189,299,294,097,664
  5. Step 5: Solve for x
    x = 189,299,294,097,664/6,375,544
  6. Step 6: Final answer
    x = 29,691,473.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.