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Finding the Third Proportional to 6,868,096 and 14,917,120

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Solution

The third proportional to 6,868,096 and 14,917,120 is: 32,399,149.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,868,096 : 14,917,120 = 14,917,120 : x
  2. Step 2: Convert to fraction form
    6,868,096/14,917,120 = 14,917,120/x
  3. Step 3: Cross multiply
    6,868,096x = 14,917,120 × 14,917,120
  4. Step 4: Simplify right side
    6,868,096x = 222,520,469,094,400
  5. Step 5: Solve for x
    x = 222,520,469,094,400/6,868,096
  6. Step 6: Final answer
    x = 32,399,149.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.