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Finding the Third Proportional to 3,802,196.25 and 8,454,485.25

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Solution

The third proportional to 3,802,196.25 and 8,454,485.25 is: 18,799,219.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802,196.25 : 8,454,485.25 = 8,454,485.25 : x
  2. Step 2: Convert to fraction form
    3,802,196.25/8,454,485.25 = 8,454,485.25/x
  3. Step 3: Cross multiply
    3,802,196.25x = 8,454,485.25 × 8,454,485.25
  4. Step 4: Simplify right side
    3,802,196.25x = 71,478,320,842,467.56
  5. Step 5: Solve for x
    x = 71,478,320,842,467.56/3,802,196.25
  6. Step 6: Final answer
    x = 18,799,219.23

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.