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Finding the Third Proportional to 6,217,905 and 13,380,593

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Solution

The third proportional to 6,217,905 and 13,380,593 is: 28,794,307.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,217,905 : 13,380,593 = 13,380,593 : x
  2. Step 2: Convert to fraction form
    6,217,905/13,380,593 = 13,380,593/x
  3. Step 3: Cross multiply
    6,217,905x = 13,380,593 × 13,380,593
  4. Step 4: Simplify right side
    6,217,905x = 179,040,269,031,649
  5. Step 5: Solve for x
    x = 179,040,269,031,649/6,217,905
  6. Step 6: Final answer
    x = 28,794,307.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.