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Finding the Third Proportional to 13,447,338 and 20,184,774

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Solution

The third proportional to 13,447,338 and 20,184,774 is: 30,297,825.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,447,338 : 20,184,774 = 20,184,774 : x
  2. Step 2: Convert to fraction form
    13,447,338/20,184,774 = 20,184,774/x
  3. Step 3: Cross multiply
    13,447,338x = 20,184,774 × 20,184,774
  4. Step 4: Simplify right side
    13,447,338x = 407,425,101,431,076
  5. Step 5: Solve for x
    x = 407,425,101,431,076/13,447,338
  6. Step 6: Final answer
    x = 30,297,825.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.