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Finding the Third Proportional to 7,400,243.25 and 17,828,016.75

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Solution

The third proportional to 7,400,243.25 and 17,828,016.75 is: 42,949,693.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,400,243.25 : 17,828,016.75 = 17,828,016.75 : x
  2. Step 2: Convert to fraction form
    7,400,243.25/17,828,016.75 = 17,828,016.75/x
  3. Step 3: Cross multiply
    7,400,243.25x = 17,828,016.75 × 17,828,016.75
  4. Step 4: Simplify right side
    7,400,243.25x = 317,838,181,238,280.56
  5. Step 5: Solve for x
    x = 317,838,181,238,280.56/7,400,243.25
  6. Step 6: Final answer
    x = 42,949,693.75

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.