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Finding the Third Proportional to 16,150,735.13 and 24,824,793.94

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Solution

The third proportional to 16,150,735.13 and 24,824,793.94 is: 38,157,420.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,150,735.13 : 24,824,793.94 = 24,824,793.94 : x
  2. Step 2: Convert to fraction form
    16,150,735.13/24,824,793.94 = 24,824,793.94/x
  3. Step 3: Cross multiply
    16,150,735.13x = 24,824,793.94 × 24,824,793.94
  4. Step 4: Simplify right side
    16,150,735.13x = 616,270,394,039,336.75
  5. Step 5: Solve for x
    x = 616,270,394,039,336.75/16,150,735.13
  6. Step 6: Final answer
    x = 38,157,420.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.