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Finding the Third Proportional to 319,072,678 and 694,049,996

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Solution

The third proportional to 319,072,678 and 694,049,996 is: 1,509,704,309.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,072,678 : 694,049,996 = 694,049,996 : x
  2. Step 2: Convert to fraction form
    319,072,678/694,049,996 = 694,049,996/x
  3. Step 3: Cross multiply
    319,072,678x = 694,049,996 × 694,049,996
  4. Step 4: Simplify right side
    319,072,678x = 481,705,396,947,600,000
  5. Step 5: Solve for x
    x = 481,705,396,947,600,000/319,072,678
  6. Step 6: Final answer
    x = 1,509,704,309.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.