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Finding the Third Proportional to 6,195,393 and 13,420,242

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Solution

The third proportional to 6,195,393 and 13,420,242 is: 29,070,455.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,195,393 : 13,420,242 = 13,420,242 : x
  2. Step 2: Convert to fraction form
    6,195,393/13,420,242 = 13,420,242/x
  3. Step 3: Cross multiply
    6,195,393x = 13,420,242 × 13,420,242
  4. Step 4: Simplify right side
    6,195,393x = 180,102,895,338,564
  5. Step 5: Solve for x
    x = 180,102,895,338,564/6,195,393
  6. Step 6: Final answer
    x = 29,070,455.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.