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Finding the Third Proportional to 7,268,838.75 and 11,404,231.88

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Solution

The third proportional to 7,268,838.75 and 11,404,231.88 is: 17,892,335.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,268,838.75 : 11,404,231.88 = 11,404,231.88 : x
  2. Step 2: Convert to fraction form
    7,268,838.75/11,404,231.88 = 11,404,231.88/x
  3. Step 3: Cross multiply
    7,268,838.75x = 11,404,231.88 × 11,404,231.88
  4. Step 4: Simplify right side
    7,268,838.75x = 130,056,504,658,766.02
  5. Step 5: Solve for x
    x = 130,056,504,658,766.02/7,268,838.75
  6. Step 6: Final answer
    x = 17,892,335.92

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.