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Finding the Third Proportional to 13,469,077 and 20,539,897

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Solution

The third proportional to 13,469,077 and 20,539,897 is: 31,322,663.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,469,077 : 20,539,897 = 20,539,897 : x
  2. Step 2: Convert to fraction form
    13,469,077/20,539,897 = 20,539,897/x
  3. Step 3: Cross multiply
    13,469,077x = 20,539,897 × 20,539,897
  4. Step 4: Simplify right side
    13,469,077x = 421,887,368,770,609
  5. Step 5: Solve for x
    x = 421,887,368,770,609/13,469,077
  6. Step 6: Final answer
    x = 31,322,663.67

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.