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Finding the Third Proportional to 1,505,489,817 and 3,134,700,186

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Solution

The third proportional to 1,505,489,817 and 3,134,700,186 is: 6,527,008,781.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505,489,817 : 3,134,700,186 = 3,134,700,186 : x
  2. Step 2: Convert to fraction form
    1,505,489,817/3,134,700,186 = 3,134,700,186/x
  3. Step 3: Cross multiply
    1,505,489,817x = 3,134,700,186 × 3,134,700,186
  4. Step 4: Simplify right side
    1,505,489,817x = 9,826,345,256,108,435,456
  5. Step 5: Solve for x
    x = 9,826,345,256,108,435,456/1,505,489,817
  6. Step 6: Final answer
    x = 6,527,008,781.56

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.