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Finding the Third Proportional to 6,149,264 and 14,235,847

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Solution

The third proportional to 6,149,264 and 14,235,847 is: 32,956,682.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,149,264 : 14,235,847 = 14,235,847 : x
  2. Step 2: Convert to fraction form
    6,149,264/14,235,847 = 14,235,847/x
  3. Step 3: Cross multiply
    6,149,264x = 14,235,847 × 14,235,847
  4. Step 4: Simplify right side
    6,149,264x = 202,659,339,807,409
  5. Step 5: Solve for x
    x = 202,659,339,807,409/6,149,264
  6. Step 6: Final answer
    x = 32,956,682.26

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.