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Finding the Third Proportional to 339,320,285,460 and 738,215,084,988

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Solution

The third proportional to 339,320,285,460 and 738,215,084,988 is: 1,606,038,704,597.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,320,285,460 : 738,215,084,988 = 738,215,084,988 : x
  2. Step 2: Convert to fraction form
    339,320,285,460/738,215,084,988 = 738,215,084,988/x
  3. Step 3: Cross multiply
    339,320,285,460x = 738,215,084,988 × 738,215,084,988
  4. Step 4: Simplify right side
    339,320,285,460x = 544,961,511,703,840,070,565,888
  5. Step 5: Solve for x
    x = 544,961,511,703,840,070,565,888/339,320,285,460
  6. Step 6: Final answer
    x = 1,606,038,704,597.52

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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.