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Finding the Third Proportional to 3,643,858,722,390 and 7,589,317,487,883

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Solution

The third proportional to 3,643,858,722,390 and 7,589,317,487,883 is: 15,806,798,320,135.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643,858,722,390 : 7,589,317,487,883 = 7,589,317,487,883 : x
  2. Step 2: Convert to fraction form
    3,643,858,722,390/7,589,317,487,883 = 7,589,317,487,883/x
  3. Step 3: Cross multiply
    3,643,858,722,390x = 7,589,317,487,883 × 7,589,317,487,883
  4. Step 4: Simplify right side
    3,643,858,722,390x = 57,597,739,931,886,728,350,007,296
  5. Step 5: Solve for x
    x = 57,597,739,931,886,728,350,007,296/3,643,858,722,390
  6. Step 6: Final answer
    x = 15,806,798,320,135.88

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.