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Finding the Third Proportional to 2,736,200 and 5,997,766

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Solution

The third proportional to 2,736,200 and 5,997,766 is: 13,147,137.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,736,200 : 5,997,766 = 5,997,766 : x
  2. Step 2: Convert to fraction form
    2,736,200/5,997,766 = 5,997,766/x
  3. Step 3: Cross multiply
    2,736,200x = 5,997,766 × 5,997,766
  4. Step 4: Simplify right side
    2,736,200x = 35,973,196,990,756
  5. Step 5: Solve for x
    x = 35,973,196,990,756/2,736,200
  6. Step 6: Final answer
    x = 13,147,137.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.