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Finding the Third Proportional to 192,467,424 and 454,188,672

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Solution

The third proportional to 192,467,424 and 454,188,672 is: 1,071,803,973.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,467,424 : 454,188,672 = 454,188,672 : x
  2. Step 2: Convert to fraction form
    192,467,424/454,188,672 = 454,188,672/x
  3. Step 3: Cross multiply
    192,467,424x = 454,188,672 × 454,188,672
  4. Step 4: Simplify right side
    192,467,424x = 206,287,349,773,123,584
  5. Step 5: Solve for x
    x = 206,287,349,773,123,584/192,467,424
  6. Step 6: Final answer
    x = 1,071,803,973.30

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.