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Finding the Third Proportional to 5,149,702.69 and 7,790,832.56

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Solution

The third proportional to 5,149,702.69 and 7,790,832.56 is: 11,786,519.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,149,702.69 : 7,790,832.56 = 7,790,832.56 : x
  2. Step 2: Convert to fraction form
    5,149,702.69/7,790,832.56 = 7,790,832.56/x
  3. Step 3: Cross multiply
    5,149,702.69x = 7,790,832.56 × 7,790,832.56
  4. Step 4: Simplify right side
    5,149,702.69x = 60,697,072,016,910.31
  5. Step 5: Solve for x
    x = 60,697,072,016,910.31/5,149,702.69
  6. Step 6: Final answer
    x = 11,786,519.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.