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Finding the Third Proportional to 5,265,427.50 and 7,876,917

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Solution

The third proportional to 5,265,427.50 and 7,876,917 is: 11,783,624.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,265,427.50 : 7,876,917 = 7,876,917 : x
  2. Step 2: Convert to fraction form
    5,265,427.50/7,876,917 = 7,876,917/x
  3. Step 3: Cross multiply
    5,265,427.50x = 7,876,917 × 7,876,917
  4. Step 4: Simplify right side
    5,265,427.50x = 62,045,821,424,889
  5. Step 5: Solve for x
    x = 62,045,821,424,889/5,265,427.50
  6. Step 6: Final answer
    x = 11,783,624.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.