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Finding the Third Proportional to 9,171,456 and 13,780,296

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Solution

The third proportional to 9,171,456 and 13,780,296 is: 20,705,170.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,171,456 : 13,780,296 = 13,780,296 : x
  2. Step 2: Convert to fraction form
    9,171,456/13,780,296 = 13,780,296/x
  3. Step 3: Cross multiply
    9,171,456x = 13,780,296 × 13,780,296
  4. Step 4: Simplify right side
    9,171,456x = 189,896,557,847,616
  5. Step 5: Solve for x
    x = 189,896,557,847,616/9,171,456
  6. Step 6: Final answer
    x = 20,705,170.24

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