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Finding the Third Proportional to 6,481,296 and 13,966,425

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Solution

The third proportional to 6,481,296 and 13,966,425 is: 30,095,991.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,481,296 : 13,966,425 = 13,966,425 : x
  2. Step 2: Convert to fraction form
    6,481,296/13,966,425 = 13,966,425/x
  3. Step 3: Cross multiply
    6,481,296x = 13,966,425 × 13,966,425
  4. Step 4: Simplify right side
    6,481,296x = 195,061,027,280,625
  5. Step 5: Solve for x
    x = 195,061,027,280,625/6,481,296
  6. Step 6: Final answer
    x = 30,095,991.18

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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.