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Finding the Third Proportional to 3,679,219,869 and 5,517,478,509

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Solution

The third proportional to 3,679,219,869 and 5,517,478,509 is: 8,274,191,318.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,679,219,869 : 5,517,478,509 = 5,517,478,509 : x
  2. Step 2: Convert to fraction form
    3,679,219,869/5,517,478,509 = 5,517,478,509/x
  3. Step 3: Cross multiply
    3,679,219,869x = 5,517,478,509 × 5,517,478,509
  4. Step 4: Simplify right side
    3,679,219,869x = 30,442,569,097,276,862,464
  5. Step 5: Solve for x
    x = 30,442,569,097,276,862,464/3,679,219,869
  6. Step 6: Final answer
    x = 8,274,191,318.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.