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Finding the Third Proportional to 5,182,940.12 and 11,277,449.17

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Solution

The third proportional to 5,182,940.12 and 11,277,449.17 is: 24,538,361.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,182,940.12 : 11,277,449.17 = 11,277,449.17 : x
  2. Step 2: Convert to fraction form
    5,182,940.12/11,277,449.17 = 11,277,449.17/x
  3. Step 3: Cross multiply
    5,182,940.12x = 11,277,449.17 × 11,277,449.17
  4. Step 4: Simplify right side
    5,182,940.12x = 127,180,859,868,273.84
  5. Step 5: Solve for x
    x = 127,180,859,868,273.84/5,182,940.12
  6. Step 6: Final answer
    x = 24,538,361.81

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.