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Finding the Third Proportional to 5,305,441.78 and 10,805,982.19

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Solution

The third proportional to 5,305,441.78 and 10,805,982.19 is: 22,009,336.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,305,441.78 : 10,805,982.19 = 10,805,982.19 : x
  2. Step 2: Convert to fraction form
    5,305,441.78/10,805,982.19 = 10,805,982.19/x
  3. Step 3: Cross multiply
    5,305,441.78x = 10,805,982.19 × 10,805,982.19
  4. Step 4: Simplify right side
    5,305,441.78x = 116,769,251,036,567.28
  5. Step 5: Solve for x
    x = 116,769,251,036,567.28/5,305,441.78
  6. Step 6: Final answer
    x = 22,009,336.05

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.