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Finding the Third Proportional to 3,444,247,542,987 and 7,379,769,964,529

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Solution

The third proportional to 3,444,247,542,987 and 7,379,769,964,529 is: 15,812,163,338,914.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,444,247,542,987 : 7,379,769,964,529 = 7,379,769,964,529 : x
  2. Step 2: Convert to fraction form
    3,444,247,542,987/7,379,769,964,529 = 7,379,769,964,529/x
  3. Step 3: Cross multiply
    3,444,247,542,987x = 7,379,769,964,529 × 7,379,769,964,529
  4. Step 4: Simplify right side
    3,444,247,542,987x = 54,461,004,729,364,360,548,319,232
  5. Step 5: Solve for x
    x = 54,461,004,729,364,360,548,319,232/3,444,247,542,987
  6. Step 6: Final answer
    x = 15,812,163,338,914.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.