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Finding the Third Proportional to 16,188,732.75 and 24,908,364.56

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Solution

The third proportional to 16,188,732.75 and 24,908,364.56 is: 38,324,594.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,188,732.75 : 24,908,364.56 = 24,908,364.56 : x
  2. Step 2: Convert to fraction form
    16,188,732.75/24,908,364.56 = 24,908,364.56/x
  3. Step 3: Cross multiply
    16,188,732.75x = 24,908,364.56 × 24,908,364.56
  4. Step 4: Simplify right side
    16,188,732.75x = 620,426,625,178,405.88
  5. Step 5: Solve for x
    x = 620,426,625,178,405.88/16,188,732.75
  6. Step 6: Final answer
    x = 38,324,594.94

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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.