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Finding the Third Proportional to 2,781,299.11 and 5,775,762.38

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Solution

The third proportional to 2,781,299.11 and 5,775,762.38 is: 11,994,190.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781,299.11 : 5,775,762.38 = 5,775,762.38 : x
  2. Step 2: Convert to fraction form
    2,781,299.11/5,775,762.38 = 5,775,762.38/x
  3. Step 3: Cross multiply
    2,781,299.11x = 5,775,762.38 × 5,775,762.38
  4. Step 4: Simplify right side
    2,781,299.11x = 33,359,431,012,465.64
  5. Step 5: Solve for x
    x = 33,359,431,012,465.64/2,781,299.11
  6. Step 6: Final answer
    x = 11,994,190.38

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.