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Finding the Third Proportional to 3,143,023,452 and 6,844,060,008

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Solution

The third proportional to 3,143,023,452 and 6,844,060,008 is: 14,903,215,998.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143,023,452 : 6,844,060,008 = 6,844,060,008 : x
  2. Step 2: Convert to fraction form
    3,143,023,452/6,844,060,008 = 6,844,060,008/x
  3. Step 3: Cross multiply
    3,143,023,452x = 6,844,060,008 × 6,844,060,008
  4. Step 4: Simplify right side
    3,143,023,452x = 46,841,157,393,104,961,536
  5. Step 5: Solve for x
    x = 46,841,157,393,104,961,536/3,143,023,452
  6. Step 6: Final answer
    x = 14,903,215,998.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.