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Finding the Third Proportional to 6,414,911 and 13,959,105

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Solution

The third proportional to 6,414,911 and 13,959,105 is: 30,375,575.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414,911 : 13,959,105 = 13,959,105 : x
  2. Step 2: Convert to fraction form
    6,414,911/13,959,105 = 13,959,105/x
  3. Step 3: Cross multiply
    6,414,911x = 13,959,105 × 13,959,105
  4. Step 4: Simplify right side
    6,414,911x = 194,856,612,401,025
  5. Step 5: Solve for x
    x = 194,856,612,401,025/6,414,911
  6. Step 6: Final answer
    x = 30,375,575.34

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.