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Finding the Third Proportional to 6,336,720 and 14,954,016

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Solution

The third proportional to 6,336,720 and 14,954,016 is: 35,289,959.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,336,720 : 14,954,016 = 14,954,016 : x
  2. Step 2: Convert to fraction form
    6,336,720/14,954,016 = 14,954,016/x
  3. Step 3: Cross multiply
    6,336,720x = 14,954,016 × 14,954,016
  4. Step 4: Simplify right side
    6,336,720x = 223,622,594,528,256
  5. Step 5: Solve for x
    x = 223,622,594,528,256/6,336,720
  6. Step 6: Final answer
    x = 35,289,959.87

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.