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Finding the Third Proportional to 6,513,877 and 8,684,183.50

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Solution

The third proportional to 6,513,877 and 8,684,183.50 is: 11,577,597.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,513,877 : 8,684,183.50 = 8,684,183.50 : x
  2. Step 2: Convert to fraction form
    6,513,877/8,684,183.50 = 8,684,183.50/x
  3. Step 3: Cross multiply
    6,513,877x = 8,684,183.50 × 8,684,183.50
  4. Step 4: Simplify right side
    6,513,877x = 75,415,043,061,672.25
  5. Step 5: Solve for x
    x = 75,415,043,061,672.25/6,513,877
  6. Step 6: Final answer
    x = 11,577,597.04

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.