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Finding the Third Proportional to 2,765,280 and 5,751,288

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Solution

The third proportional to 2,765,280 and 5,751,288 is: 11,961,650.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765,280 : 5,751,288 = 5,751,288 : x
  2. Step 2: Convert to fraction form
    2,765,280/5,751,288 = 5,751,288/x
  3. Step 3: Cross multiply
    2,765,280x = 5,751,288 × 5,751,288
  4. Step 4: Simplify right side
    2,765,280x = 33,077,313,658,944
  5. Step 5: Solve for x
    x = 33,077,313,658,944/2,765,280
  6. Step 6: Final answer
    x = 11,961,650.78

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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.