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Finding the Third Proportional to 16,922,400 and 25,780,176

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Solution

The third proportional to 16,922,400 and 25,780,176 is: 39,274,421.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,922,400 : 25,780,176 = 25,780,176 : x
  2. Step 2: Convert to fraction form
    16,922,400/25,780,176 = 25,780,176/x
  3. Step 3: Cross multiply
    16,922,400x = 25,780,176 × 25,780,176
  4. Step 4: Simplify right side
    16,922,400x = 664,617,474,590,976
  5. Step 5: Solve for x
    x = 664,617,474,590,976/16,922,400
  6. Step 6: Final answer
    x = 39,274,421.75

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.