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Finding the Third Proportional to 10,451,196 and 21,322,296

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Solution

The third proportional to 10,451,196 and 21,322,296 is: 43,501,270.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,451,196 : 21,322,296 = 21,322,296 : x
  2. Step 2: Convert to fraction form
    10,451,196/21,322,296 = 21,322,296/x
  3. Step 3: Cross multiply
    10,451,196x = 21,322,296 × 21,322,296
  4. Step 4: Simplify right side
    10,451,196x = 454,640,306,711,616
  5. Step 5: Solve for x
    x = 454,640,306,711,616/10,451,196
  6. Step 6: Final answer
    x = 43,501,270.74

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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.