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Finding the Third Proportional to 339,320,285,470.50 and 738,215,085,009

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Solution

The third proportional to 339,320,285,470.50 and 738,215,085,009 is: 1,606,038,704,639.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,320,285,470.50 : 738,215,085,009 = 738,215,085,009 : x
  2. Step 2: Convert to fraction form
    339,320,285,470.50/738,215,085,009 = 738,215,085,009/x
  3. Step 3: Cross multiply
    339,320,285,470.50x = 738,215,085,009 × 738,215,085,009
  4. Step 4: Simplify right side
    339,320,285,470.50x = 544,961,511,734,845,103,931,392
  5. Step 5: Solve for x
    x = 544,961,511,734,845,103,931,392/339,320,285,470.50
  6. Step 6: Final answer
    x = 1,606,038,704,639.20

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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.