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Finding the Third Proportional to 2,764,678 and 5,750,006

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Solution

The third proportional to 2,764,678 and 5,750,006 is: 11,958,922.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764,678 : 5,750,006 = 5,750,006 : x
  2. Step 2: Convert to fraction form
    2,764,678/5,750,006 = 5,750,006/x
  3. Step 3: Cross multiply
    2,764,678x = 5,750,006 × 5,750,006
  4. Step 4: Simplify right side
    2,764,678x = 33,062,569,000,036
  5. Step 5: Solve for x
    x = 33,062,569,000,036/2,764,678
  6. Step 6: Final answer
    x = 11,958,922.16

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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.