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Finding the Third Proportional to 4,347,296 and 9,534,400

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Solution

The third proportional to 4,347,296 and 9,534,400 is: 20,910,649.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,347,296 : 9,534,400 = 9,534,400 : x
  2. Step 2: Convert to fraction form
    4,347,296/9,534,400 = 9,534,400/x
  3. Step 3: Cross multiply
    4,347,296x = 9,534,400 × 9,534,400
  4. Step 4: Simplify right side
    4,347,296x = 90,904,783,360,000
  5. Step 5: Solve for x
    x = 90,904,783,360,000/4,347,296
  6. Step 6: Final answer
    x = 20,910,649.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.