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Finding the Third Proportional to 3,167,162,512 and 6,958,652,288

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Solution

The third proportional to 3,167,162,512 and 6,958,652,288 is: 15,289,029,685.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,167,162,512 : 6,958,652,288 = 6,958,652,288 : x
  2. Step 2: Convert to fraction form
    3,167,162,512/6,958,652,288 = 6,958,652,288/x
  3. Step 3: Cross multiply
    3,167,162,512x = 6,958,652,288 × 6,958,652,288
  4. Step 4: Simplify right side
    3,167,162,512x = 48,422,841,665,287,634,944
  5. Step 5: Solve for x
    x = 48,422,841,665,287,634,944/3,167,162,512
  6. Step 6: Final answer
    x = 15,289,029,685.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.