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Finding the Third Proportional to 4,967,296 and 10,996,922

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Solution

The third proportional to 4,967,296 and 10,996,922 is: 24,345,699.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,967,296 : 10,996,922 = 10,996,922 : x
  2. Step 2: Convert to fraction form
    4,967,296/10,996,922 = 10,996,922/x
  3. Step 3: Cross multiply
    4,967,296x = 10,996,922 × 10,996,922
  4. Step 4: Simplify right side
    4,967,296x = 120,932,293,474,084
  5. Step 5: Solve for x
    x = 120,932,293,474,084/4,967,296
  6. Step 6: Final answer
    x = 24,345,699.04

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.