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Finding the Third Proportional to 5,933,701 and 12,181,965

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Solution

The third proportional to 5,933,701 and 12,181,965 is: 25,009,731.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,933,701 : 12,181,965 = 12,181,965 : x
  2. Step 2: Convert to fraction form
    5,933,701/12,181,965 = 12,181,965/x
  3. Step 3: Cross multiply
    5,933,701x = 12,181,965 × 12,181,965
  4. Step 4: Simplify right side
    5,933,701x = 148,400,271,261,225
  5. Step 5: Solve for x
    x = 148,400,271,261,225/5,933,701
  6. Step 6: Final answer
    x = 25,009,731.91

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.