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Finding the Third Proportional to 9,227,850 and 20,192,704.50

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Solution

The third proportional to 9,227,850 and 20,192,704.50 is: 44,186,383.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,227,850 : 20,192,704.50 = 20,192,704.50 : x
  2. Step 2: Convert to fraction form
    9,227,850/20,192,704.50 = 20,192,704.50/x
  3. Step 3: Cross multiply
    9,227,850x = 20,192,704.50 × 20,192,704.50
  4. Step 4: Simplify right side
    9,227,850x = 407,745,315,024,320.25
  5. Step 5: Solve for x
    x = 407,745,315,024,320.25/9,227,850
  6. Step 6: Final answer
    x = 44,186,383.07

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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.