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Finding the Third Proportional to 4,934,724.75 and 11,004,067.13

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Solution

The third proportional to 4,934,724.75 and 11,004,067.13 is: 24,538,246.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,934,724.75 : 11,004,067.13 = 11,004,067.13 : x
  2. Step 2: Convert to fraction form
    4,934,724.75/11,004,067.13 = 11,004,067.13/x
  3. Step 3: Cross multiply
    4,934,724.75x = 11,004,067.13 × 11,004,067.13
  4. Step 4: Simplify right side
    4,934,724.75x = 121,089,493,291,505.77
  5. Step 5: Solve for x
    x = 121,089,493,291,505.77/4,934,724.75
  6. Step 6: Final answer
    x = 24,538,246.70

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.