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Finding the Third Proportional to 339,320,285,473 and 738,215,085,013

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Solution

The third proportional to 339,320,285,473 and 738,215,085,013 is: 1,606,038,704,644.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,320,285,473 : 738,215,085,013 = 738,215,085,013 : x
  2. Step 2: Convert to fraction form
    339,320,285,473/738,215,085,013 = 738,215,085,013/x
  3. Step 3: Cross multiply
    339,320,285,473x = 738,215,085,013 × 738,215,085,013
  4. Step 4: Simplify right side
    339,320,285,473x = 544,961,511,740,750,818,181,120
  5. Step 5: Solve for x
    x = 544,961,511,740,750,818,181,120/339,320,285,473
  6. Step 6: Final answer
    x = 1,606,038,704,644.77

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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.