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Finding the Third Proportional to 399,058,770,832 and 868,367,978,528

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Solution

The third proportional to 399,058,770,832 and 868,367,978,528 is: 1,889,603,740,723.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,058,770,832 : 868,367,978,528 = 868,367,978,528 : x
  2. Step 2: Convert to fraction form
    399,058,770,832/868,367,978,528 = 868,367,978,528/x
  3. Step 3: Cross multiply
    399,058,770,832x = 868,367,978,528 × 868,367,978,528
  4. Step 4: Simplify right side
    399,058,770,832x = 754,062,946,132,805,036,277,760
  5. Step 5: Solve for x
    x = 754,062,946,132,805,036,277,760/399,058,770,832
  6. Step 6: Final answer
    x = 1,889,603,740,723.84

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