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Finding the Third Proportional to 13,132,021 and 20,978,613

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Solution

The third proportional to 13,132,021 and 20,978,613 is: 33,513,668.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,132,021 : 20,978,613 = 20,978,613 : x
  2. Step 2: Convert to fraction form
    13,132,021/20,978,613 = 20,978,613/x
  3. Step 3: Cross multiply
    13,132,021x = 20,978,613 × 20,978,613
  4. Step 4: Simplify right side
    13,132,021x = 440,102,203,403,769
  5. Step 5: Solve for x
    x = 440,102,203,403,769/13,132,021
  6. Step 6: Final answer
    x = 33,513,668.87

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.