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Finding the Third Proportional to 13,224,168 and 20,425,824

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Solution

The third proportional to 13,224,168 and 20,425,824 is: 31,549,378.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,224,168 : 20,425,824 = 20,425,824 : x
  2. Step 2: Convert to fraction form
    13,224,168/20,425,824 = 20,425,824/x
  3. Step 3: Cross multiply
    13,224,168x = 20,425,824 × 20,425,824
  4. Step 4: Simplify right side
    13,224,168x = 417,214,286,078,976
  5. Step 5: Solve for x
    x = 417,214,286,078,976/13,224,168
  6. Step 6: Final answer
    x = 31,549,378.84

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.