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Finding the Third Proportional to 10,451,214 and 21,322,336

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Solution

The third proportional to 10,451,214 and 21,322,336 is: 43,501,359.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,451,214 : 21,322,336 = 21,322,336 : x
  2. Step 2: Convert to fraction form
    10,451,214/21,322,336 = 21,322,336/x
  3. Step 3: Cross multiply
    10,451,214x = 21,322,336 × 21,322,336
  4. Step 4: Simplify right side
    10,451,214x = 454,642,012,496,896
  5. Step 5: Solve for x
    x = 454,642,012,496,896/10,451,214
  6. Step 6: Final answer
    x = 43,501,359.03

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.