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Finding the Third Proportional to 6,162,746 and 13,741,732

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Solution

The third proportional to 6,162,746 and 13,741,732 is: 30,641,405.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,162,746 : 13,741,732 = 13,741,732 : x
  2. Step 2: Convert to fraction form
    6,162,746/13,741,732 = 13,741,732/x
  3. Step 3: Cross multiply
    6,162,746x = 13,741,732 × 13,741,732
  4. Step 4: Simplify right side
    6,162,746x = 188,835,198,359,824
  5. Step 5: Solve for x
    x = 188,835,198,359,824/6,162,746
  6. Step 6: Final answer
    x = 30,641,405.37

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.