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Finding the Third Proportional to 11,145,761 and 15,695,680

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Solution

The third proportional to 11,145,761 and 15,695,680 is: 22,102,965.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,145,761 : 15,695,680 = 15,695,680 : x
  2. Step 2: Convert to fraction form
    11,145,761/15,695,680 = 15,695,680/x
  3. Step 3: Cross multiply
    11,145,761x = 15,695,680 × 15,695,680
  4. Step 4: Simplify right side
    11,145,761x = 246,354,370,662,400
  5. Step 5: Solve for x
    x = 246,354,370,662,400/11,145,761
  6. Step 6: Final answer
    x = 22,102,965.48

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.