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Finding the Third Proportional to 9,786,099 and 20,464,494

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Solution

The third proportional to 9,786,099 and 20,464,494 is: 42,794,939.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,786,099 : 20,464,494 = 20,464,494 : x
  2. Step 2: Convert to fraction form
    9,786,099/20,464,494 = 20,464,494/x
  3. Step 3: Cross multiply
    9,786,099x = 20,464,494 × 20,464,494
  4. Step 4: Simplify right side
    9,786,099x = 418,795,514,676,036
  5. Step 5: Solve for x
    x = 418,795,514,676,036/9,786,099
  6. Step 6: Final answer
    x = 42,794,939.50

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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.