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Finding the Third Proportional to 2,011,687.31 and 4,311,010.69

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Solution

The third proportional to 2,011,687.31 and 4,311,010.69 is: 9,238,420.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011,687.31 : 4,311,010.69 = 4,311,010.69 : x
  2. Step 2: Convert to fraction form
    2,011,687.31/4,311,010.69 = 4,311,010.69/x
  3. Step 3: Cross multiply
    2,011,687.31x = 4,311,010.69 × 4,311,010.69
  4. Step 4: Simplify right side
    2,011,687.31x = 18,584,813,147,739.22
  5. Step 5: Solve for x
    x = 18,584,813,147,739.22/2,011,687.31
  6. Step 6: Final answer
    x = 9,238,420.42

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