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Finding the Third Proportional to 9,194,631 and 19,510,035

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Solution

The third proportional to 9,194,631 and 19,510,035 is: 41,398,231.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,194,631 : 19,510,035 = 19,510,035 : x
  2. Step 2: Convert to fraction form
    9,194,631/19,510,035 = 19,510,035/x
  3. Step 3: Cross multiply
    9,194,631x = 19,510,035 × 19,510,035
  4. Step 4: Simplify right side
    9,194,631x = 380,641,465,701,225
  5. Step 5: Solve for x
    x = 380,641,465,701,225/9,194,631
  6. Step 6: Final answer
    x = 41,398,231.83

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.