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Finding the Third Proportional to 6,414,916 and 13,959,114

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Solution

The third proportional to 6,414,916 and 13,959,114 is: 30,375,590.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414,916 : 13,959,114 = 13,959,114 : x
  2. Step 2: Convert to fraction form
    6,414,916/13,959,114 = 13,959,114/x
  3. Step 3: Cross multiply
    6,414,916x = 13,959,114 × 13,959,114
  4. Step 4: Simplify right side
    6,414,916x = 194,856,863,664,996
  5. Step 5: Solve for x
    x = 194,856,863,664,996/6,414,916
  6. Step 6: Final answer
    x = 30,375,590.84

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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.