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Finding the Third Proportional to 6,268,760 and 9,310,980

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Solution

The third proportional to 6,268,760 and 9,310,980 is: 13,829,584.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,268,760 : 9,310,980 = 9,310,980 : x
  2. Step 2: Convert to fraction form
    6,268,760/9,310,980 = 9,310,980/x
  3. Step 3: Cross multiply
    6,268,760x = 9,310,980 × 9,310,980
  4. Step 4: Simplify right side
    6,268,760x = 86,694,348,560,400
  5. Step 5: Solve for x
    x = 86,694,348,560,400/6,268,760
  6. Step 6: Final answer
    x = 13,829,584.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.