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Finding the Third Proportional to 330,027,666 and 699,396,543

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Solution

The third proportional to 330,027,666 and 699,396,543 is: 1,482,165,208.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,027,666 : 699,396,543 = 699,396,543 : x
  2. Step 2: Convert to fraction form
    330,027,666/699,396,543 = 699,396,543/x
  3. Step 3: Cross multiply
    330,027,666x = 699,396,543 × 699,396,543
  4. Step 4: Simplify right side
    330,027,666x = 489,155,524,360,350,848
  5. Step 5: Solve for x
    x = 489,155,524,360,350,848/330,027,666
  6. Step 6: Final answer
    x = 1,482,165,208.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.