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Finding the Third Proportional to 3,377,134,318 and 5,092,278,225

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Solution

The third proportional to 3,377,134,318 and 5,092,278,225 is: 7,678,491,608.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,377,134,318 : 5,092,278,225 = 5,092,278,225 : x
  2. Step 2: Convert to fraction form
    3,377,134,318/5,092,278,225 = 5,092,278,225/x
  3. Step 3: Cross multiply
    3,377,134,318x = 5,092,278,225 × 5,092,278,225
  4. Step 4: Simplify right side
    3,377,134,318x = 25,931,297,520,809,152,512
  5. Step 5: Solve for x
    x = 25,931,297,520,809,152,512/3,377,134,318
  6. Step 6: Final answer
    x = 7,678,491,608.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.