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Finding the Third Proportional to 13,667,740 and 30,121,399

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Solution

The third proportional to 13,667,740 and 30,121,399 is: 66,382,494.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,667,740 : 30,121,399 = 30,121,399 : x
  2. Step 2: Convert to fraction form
    13,667,740/30,121,399 = 30,121,399/x
  3. Step 3: Cross multiply
    13,667,740x = 30,121,399 × 30,121,399
  4. Step 4: Simplify right side
    13,667,740x = 907,298,677,717,201
  5. Step 5: Solve for x
    x = 907,298,677,717,201/13,667,740
  6. Step 6: Final answer
    x = 66,382,494.67

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.