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Finding the Third Proportional to 2,531,682 and 5,544,015

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Solution

The third proportional to 2,531,682 and 5,544,015 is: 12,140,585.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,531,682 : 5,544,015 = 5,544,015 : x
  2. Step 2: Convert to fraction form
    2,531,682/5,544,015 = 5,544,015/x
  3. Step 3: Cross multiply
    2,531,682x = 5,544,015 × 5,544,015
  4. Step 4: Simplify right side
    2,531,682x = 30,736,102,320,225
  5. Step 5: Solve for x
    x = 30,736,102,320,225/2,531,682
  6. Step 6: Final answer
    x = 12,140,585.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.