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Finding the Third Proportional to 2,942,305.31 and 6,335,474.06

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Solution

The third proportional to 2,942,305.31 and 6,335,474.06 is: 13,641,762.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,942,305.31 : 6,335,474.06 = 6,335,474.06 : x
  2. Step 2: Convert to fraction form
    2,942,305.31/6,335,474.06 = 6,335,474.06/x
  3. Step 3: Cross multiply
    2,942,305.31x = 6,335,474.06 × 6,335,474.06
  4. Step 4: Simplify right side
    2,942,305.31x = 40,138,231,596,610.25
  5. Step 5: Solve for x
    x = 40,138,231,596,610.25/2,942,305.31
  6. Step 6: Final answer
    x = 13,641,762.95

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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.