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Finding the Third Proportional to 1,989,808,067 and 4,259,136,879

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Solution

The third proportional to 1,989,808,067 and 4,259,136,879 is: 9,116,581,269.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,989,808,067 : 4,259,136,879 = 4,259,136,879 : x
  2. Step 2: Convert to fraction form
    1,989,808,067/4,259,136,879 = 4,259,136,879/x
  3. Step 3: Cross multiply
    1,989,808,067x = 4,259,136,879 × 4,259,136,879
  4. Step 4: Simplify right side
    1,989,808,067x = 18,140,246,954,057,861,120
  5. Step 5: Solve for x
    x = 18,140,246,954,057,861,120/1,989,808,067
  6. Step 6: Final answer
    x = 9,116,581,269.77

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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.