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Finding the Third Proportional to 7,401,932 and 16,505,801

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Solution

The third proportional to 7,401,932 and 16,505,801 is: 36,806,804.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,401,932 : 16,505,801 = 16,505,801 : x
  2. Step 2: Convert to fraction form
    7,401,932/16,505,801 = 16,505,801/x
  3. Step 3: Cross multiply
    7,401,932x = 16,505,801 × 16,505,801
  4. Step 4: Simplify right side
    7,401,932x = 272,441,466,651,601
  5. Step 5: Solve for x
    x = 272,441,466,651,601/7,401,932
  6. Step 6: Final answer
    x = 36,806,804.85

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.