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Finding the Third Proportional to 9,786,102 and 20,464,500

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Solution

The third proportional to 9,786,102 and 20,464,500 is: 42,794,951.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,786,102 : 20,464,500 = 20,464,500 : x
  2. Step 2: Convert to fraction form
    9,786,102/20,464,500 = 20,464,500/x
  3. Step 3: Cross multiply
    9,786,102x = 20,464,500 × 20,464,500
  4. Step 4: Simplify right side
    9,786,102x = 418,795,760,250,000
  5. Step 5: Solve for x
    x = 418,795,760,250,000/9,786,102
  6. Step 6: Final answer
    x = 42,794,951.48

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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.