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Finding the Third Proportional to 6,175,968 and 13,608,408

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Solution

The third proportional to 6,175,968 and 13,608,408 is: 29,985,383.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,175,968 : 13,608,408 = 13,608,408 : x
  2. Step 2: Convert to fraction form
    6,175,968/13,608,408 = 13,608,408/x
  3. Step 3: Cross multiply
    6,175,968x = 13,608,408 × 13,608,408
  4. Step 4: Simplify right side
    6,175,968x = 185,188,768,294,464
  5. Step 5: Solve for x
    x = 185,188,768,294,464/6,175,968
  6. Step 6: Final answer
    x = 29,985,383.39

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.