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Finding the Third Proportional to 2,707,781 and 5,763,296

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Solution

The third proportional to 2,707,781 and 5,763,296 is: 12,266,716.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707,781 : 5,763,296 = 5,763,296 : x
  2. Step 2: Convert to fraction form
    2,707,781/5,763,296 = 5,763,296/x
  3. Step 3: Cross multiply
    2,707,781x = 5,763,296 × 5,763,296
  4. Step 4: Simplify right side
    2,707,781x = 33,215,580,783,616
  5. Step 5: Solve for x
    x = 33,215,580,783,616/2,707,781
  6. Step 6: Final answer
    x = 12,266,716.10

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.