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Finding the Third Proportional to 9,227,503.50 and 20,192,844

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Solution

The third proportional to 9,227,503.50 and 20,192,844 is: 44,188,652.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,227,503.50 : 20,192,844 = 20,192,844 : x
  2. Step 2: Convert to fraction form
    9,227,503.50/20,192,844 = 20,192,844/x
  3. Step 3: Cross multiply
    9,227,503.50x = 20,192,844 × 20,192,844
  4. Step 4: Simplify right side
    9,227,503.50x = 407,750,948,808,336
  5. Step 5: Solve for x
    x = 407,750,948,808,336/9,227,503.50
  6. Step 6: Final answer
    x = 44,188,652.85

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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.