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Finding the Third Proportional to 2,666,198 and 5,737,012

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Solution

The third proportional to 2,666,198 and 5,737,012 is: 12,344,659.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666,198 : 5,737,012 = 5,737,012 : x
  2. Step 2: Convert to fraction form
    2,666,198/5,737,012 = 5,737,012/x
  3. Step 3: Cross multiply
    2,666,198x = 5,737,012 × 5,737,012
  4. Step 4: Simplify right side
    2,666,198x = 32,913,306,688,144
  5. Step 5: Solve for x
    x = 32,913,306,688,144/2,666,198
  6. Step 6: Final answer
    x = 12,344,659.58

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.