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Finding the Third Proportional to 10,013,131.50 and 20,557,090.50

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Solution

The third proportional to 10,013,131.50 and 20,557,090.50 is: 42,203,976.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,013,131.50 : 20,557,090.50 = 20,557,090.50 : x
  2. Step 2: Convert to fraction form
    10,013,131.50/20,557,090.50 = 20,557,090.50/x
  3. Step 3: Cross multiply
    10,013,131.50x = 20,557,090.50 × 20,557,090.50
  4. Step 4: Simplify right side
    10,013,131.50x = 422,593,969,825,190.25
  5. Step 5: Solve for x
    x = 422,593,969,825,190.25/10,013,131.50
  6. Step 6: Final answer
    x = 42,203,976.83

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.