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Finding the Third Proportional to 5,922,100 and 12,858,936

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Solution

The third proportional to 5,922,100 and 12,858,936 is: 27,921,216.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,922,100 : 12,858,936 = 12,858,936 : x
  2. Step 2: Convert to fraction form
    5,922,100/12,858,936 = 12,858,936/x
  3. Step 3: Cross multiply
    5,922,100x = 12,858,936 × 12,858,936
  4. Step 4: Simplify right side
    5,922,100x = 165,352,235,052,096
  5. Step 5: Solve for x
    x = 165,352,235,052,096/5,922,100
  6. Step 6: Final answer
    x = 27,921,216.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.