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Finding the Third Proportional to 9,786,104 and 20,464,504

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Solution

The third proportional to 9,786,104 and 20,464,504 is: 42,794,959.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,786,104 : 20,464,504 = 20,464,504 : x
  2. Step 2: Convert to fraction form
    9,786,104/20,464,504 = 20,464,504/x
  3. Step 3: Cross multiply
    9,786,104x = 20,464,504 × 20,464,504
  4. Step 4: Simplify right side
    9,786,104x = 418,795,923,966,016
  5. Step 5: Solve for x
    x = 418,795,923,966,016/9,786,104
  6. Step 6: Final answer
    x = 42,794,959.46

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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.