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Finding the Third Proportional to 17,764,800 and 38,223,984

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Solution

The third proportional to 17,764,800 and 38,223,984 is: 82,245,392.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,764,800 : 38,223,984 = 38,223,984 : x
  2. Step 2: Convert to fraction form
    17,764,800/38,223,984 = 38,223,984/x
  3. Step 3: Cross multiply
    17,764,800x = 38,223,984 × 38,223,984
  4. Step 4: Simplify right side
    17,764,800x = 1,461,072,952,832,256
  5. Step 5: Solve for x
    x = 1,461,072,952,832,256/17,764,800
  6. Step 6: Final answer
    x = 82,245,392.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.