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Finding the Third Proportional to 9,770,520 and 20,839,512

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Solution

The third proportional to 9,770,520 and 20,839,512 is: 44,448,530.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,770,520 : 20,839,512 = 20,839,512 : x
  2. Step 2: Convert to fraction form
    9,770,520/20,839,512 = 20,839,512/x
  3. Step 3: Cross multiply
    9,770,520x = 20,839,512 × 20,839,512
  4. Step 4: Simplify right side
    9,770,520x = 434,285,260,398,144
  5. Step 5: Solve for x
    x = 434,285,260,398,144/9,770,520
  6. Step 6: Final answer
    x = 44,448,530.93

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.