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Finding the Third Proportional to 9,227,844 and 20,192,692.50

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Solution

The third proportional to 9,227,844 and 20,192,692.50 is: 44,186,359.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,227,844 : 20,192,692.50 = 20,192,692.50 : x
  2. Step 2: Convert to fraction form
    9,227,844/20,192,692.50 = 20,192,692.50/x
  3. Step 3: Cross multiply
    9,227,844x = 20,192,692.50 × 20,192,692.50
  4. Step 4: Simplify right side
    9,227,844x = 407,744,830,399,556.25
  5. Step 5: Solve for x
    x = 407,744,830,399,556.25/9,227,844
  6. Step 6: Final answer
    x = 44,186,359.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.