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Finding the Third Proportional to 9,786,108 and 20,464,512

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Solution

The third proportional to 9,786,108 and 20,464,512 is: 42,794,975.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,786,108 : 20,464,512 = 20,464,512 : x
  2. Step 2: Convert to fraction form
    9,786,108/20,464,512 = 20,464,512/x
  3. Step 3: Cross multiply
    9,786,108x = 20,464,512 × 20,464,512
  4. Step 4: Simplify right side
    9,786,108x = 418,796,251,398,144
  5. Step 5: Solve for x
    x = 418,796,251,398,144/9,786,108
  6. Step 6: Final answer
    x = 42,794,975.43

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.