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Finding the Third Proportional to 13,390,382.25 and 20,033,679.38

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Solution

The third proportional to 13,390,382.25 and 20,033,679.38 is: 29,972,879.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,390,382.25 : 20,033,679.38 = 20,033,679.38 : x
  2. Step 2: Convert to fraction form
    13,390,382.25/20,033,679.38 = 20,033,679.38/x
  3. Step 3: Cross multiply
    13,390,382.25x = 20,033,679.38 × 20,033,679.38
  4. Step 4: Simplify right side
    13,390,382.25x = 401,348,309,300,300.38
  5. Step 5: Solve for x
    x = 401,348,309,300,300.38/13,390,382.25
  6. Step 6: Final answer
    x = 29,972,879.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.