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Finding the Third Proportional to 3,858,104.67 and 5,642,323.31

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Solution

The third proportional to 3,858,104.67 and 5,642,323.31 is: 8,251,671.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,858,104.67 : 5,642,323.31 = 5,642,323.31 : x
  2. Step 2: Convert to fraction form
    3,858,104.67/5,642,323.31 = 5,642,323.31/x
  3. Step 3: Cross multiply
    3,858,104.67x = 5,642,323.31 × 5,642,323.31
  4. Step 4: Simplify right side
    3,858,104.67x = 31,835,812,362,780.97
  5. Step 5: Solve for x
    x = 31,835,812,362,780.97/3,858,104.67
  6. Step 6: Final answer
    x = 8,251,671.50

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.