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Finding the Third Proportional to 3,833,936.30 and 8,206,558.03

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Solution

The third proportional to 3,833,936.30 and 8,206,558.03 is: 17,566,174.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,833,936.30 : 8,206,558.03 = 8,206,558.03 : x
  2. Step 2: Convert to fraction form
    3,833,936.30/8,206,558.03 = 8,206,558.03/x
  3. Step 3: Cross multiply
    3,833,936.30x = 8,206,558.03 × 8,206,558.03
  4. Step 4: Simplify right side
    3,833,936.30x = 67,347,594,720,273.88
  5. Step 5: Solve for x
    x = 67,347,594,720,273.88/3,833,936.30
  6. Step 6: Final answer
    x = 17,566,174.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.