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Finding the Third Proportional to 5,192,643.38 and 11,299,635

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Solution

The third proportional to 5,192,643.38 and 11,299,635 is: 24,588,969.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,192,643.38 : 11,299,635 = 11,299,635 : x
  2. Step 2: Convert to fraction form
    5,192,643.38/11,299,635 = 11,299,635/x
  3. Step 3: Cross multiply
    5,192,643.38x = 11,299,635 × 11,299,635
  4. Step 4: Simplify right side
    5,192,643.38x = 127,681,751,133,225
  5. Step 5: Solve for x
    x = 127,681,751,133,225/5,192,643.38
  6. Step 6: Final answer
    x = 24,588,969.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.