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Finding the Third Proportional to 6,149,270 and 14,235,863

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Solution

The third proportional to 6,149,270 and 14,235,863 is: 32,956,724.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,149,270 : 14,235,863 = 14,235,863 : x
  2. Step 2: Convert to fraction form
    6,149,270/14,235,863 = 14,235,863/x
  3. Step 3: Cross multiply
    6,149,270x = 14,235,863 × 14,235,863
  4. Step 4: Simplify right side
    6,149,270x = 202,659,795,354,769
  5. Step 5: Solve for x
    x = 202,659,795,354,769/6,149,270
  6. Step 6: Final answer
    x = 32,956,724.19

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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.