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Finding the Third Proportional to 6,093,933,478 and 8,581,601,194

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Solution

The third proportional to 6,093,933,478 and 8,581,601,194 is: 12,084,785,519.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,093,933,478 : 8,581,601,194 = 8,581,601,194 : x
  2. Step 2: Convert to fraction form
    6,093,933,478/8,581,601,194 = 8,581,601,194/x
  3. Step 3: Cross multiply
    6,093,933,478x = 8,581,601,194 × 8,581,601,194
  4. Step 4: Simplify right side
    6,093,933,478x = 73,643,879,052,862,226,432
  5. Step 5: Solve for x
    x = 73,643,879,052,862,226,432/6,093,933,478
  6. Step 6: Final answer
    x = 12,084,785,519.69

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.