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Finding the Third Proportional to 3,790,505,087 and 8,106,808,212

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Solution

The third proportional to 3,790,505,087 and 8,106,808,212 is: 17,338,148,314.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,790,505,087 : 8,106,808,212 = 8,106,808,212 : x
  2. Step 2: Convert to fraction form
    3,790,505,087/8,106,808,212 = 8,106,808,212/x
  3. Step 3: Cross multiply
    3,790,505,087x = 8,106,808,212 × 8,106,808,212
  4. Step 4: Simplify right side
    3,790,505,087x = 65,720,339,386,150,633,472
  5. Step 5: Solve for x
    x = 65,720,339,386,150,633,472/3,790,505,087
  6. Step 6: Final answer
    x = 17,338,148,314.73

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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.