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Finding the Third Proportional to 3,679,219,896 and 5,517,478,543

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Solution

The third proportional to 3,679,219,896 and 5,517,478,543 is: 8,274,191,359.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,679,219,896 : 5,517,478,543 = 5,517,478,543 : x
  2. Step 2: Convert to fraction form
    3,679,219,896/5,517,478,543 = 5,517,478,543/x
  3. Step 3: Cross multiply
    3,679,219,896x = 5,517,478,543 × 5,517,478,543
  4. Step 4: Simplify right side
    3,679,219,896x = 30,442,569,472,465,403,904
  5. Step 5: Solve for x
    x = 30,442,569,472,465,403,904/3,679,219,896
  6. Step 6: Final answer
    x = 8,274,191,359.30

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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.