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Finding the Third Proportional to 10,414,494 and 21,336,372

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Solution

The third proportional to 10,414,494 and 21,336,372 is: 43,712,231.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,414,494 : 21,336,372 = 21,336,372 : x
  2. Step 2: Convert to fraction form
    10,414,494/21,336,372 = 21,336,372/x
  3. Step 3: Cross multiply
    10,414,494x = 21,336,372 × 21,336,372
  4. Step 4: Simplify right side
    10,414,494x = 455,240,770,122,384
  5. Step 5: Solve for x
    x = 455,240,770,122,384/10,414,494
  6. Step 6: Final answer
    x = 43,712,231.25

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.