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Finding the Third Proportional to 7,669,811.53 and 16,782,769.69

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Solution

The third proportional to 7,669,811.53 and 16,782,769.69 is: 36,723,374.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,669,811.53 : 16,782,769.69 = 16,782,769.69 : x
  2. Step 2: Convert to fraction form
    7,669,811.53/16,782,769.69 = 16,782,769.69/x
  3. Step 3: Cross multiply
    7,669,811.53x = 16,782,769.69 × 16,782,769.69
  4. Step 4: Simplify right side
    7,669,811.53x = 281,661,358,383,668.88
  5. Step 5: Solve for x
    x = 281,661,358,383,668.88/7,669,811.53
  6. Step 6: Final answer
    x = 36,723,374.13

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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.