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Finding the Third Proportional to 339,320,285,462 and 738,215,084,992

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Solution

The third proportional to 339,320,285,462 and 738,215,084,992 is: 1,606,038,704,605.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,320,285,462 : 738,215,084,992 = 738,215,084,992 : x
  2. Step 2: Convert to fraction form
    339,320,285,462/738,215,084,992 = 738,215,084,992/x
  3. Step 3: Cross multiply
    339,320,285,462x = 738,215,084,992 × 738,215,084,992
  4. Step 4: Simplify right side
    339,320,285,462x = 544,961,511,709,745,784,815,616
  5. Step 5: Solve for x
    x = 544,961,511,709,745,784,815,616/339,320,285,462
  6. Step 6: Final answer
    x = 1,606,038,704,605.46

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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.