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Finding the Third Proportional to 2,811,002 and 6,181,780

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Solution

The third proportional to 2,811,002 and 6,181,780 is: 13,594,584.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,811,002 : 6,181,780 = 6,181,780 : x
  2. Step 2: Convert to fraction form
    2,811,002/6,181,780 = 6,181,780/x
  3. Step 3: Cross multiply
    2,811,002x = 6,181,780 × 6,181,780
  4. Step 4: Simplify right side
    2,811,002x = 38,214,403,968,400
  5. Step 5: Solve for x
    x = 38,214,403,968,400/2,811,002
  6. Step 6: Final answer
    x = 13,594,584.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.