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Finding the Third Proportional to 2,727,880.50 and 5,743,311

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Solution

The third proportional to 2,727,880.50 and 5,743,311 is: 12,092,033.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,727,880.50 : 5,743,311 = 5,743,311 : x
  2. Step 2: Convert to fraction form
    2,727,880.50/5,743,311 = 5,743,311/x
  3. Step 3: Cross multiply
    2,727,880.50x = 5,743,311 × 5,743,311
  4. Step 4: Simplify right side
    2,727,880.50x = 32,985,621,242,721
  5. Step 5: Solve for x
    x = 32,985,621,242,721/2,727,880.50
  6. Step 6: Final answer
    x = 12,092,033.08

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.