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Finding the Third Proportional to 8,393,024,334 and 18,202,164,990

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Solution

The third proportional to 8,393,024,334 and 18,202,164,990 is: 39,475,497,405.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,393,024,334 : 18,202,164,990 = 18,202,164,990 : x
  2. Step 2: Convert to fraction form
    8,393,024,334/18,202,164,990 = 18,202,164,990/x
  3. Step 3: Cross multiply
    8,393,024,334x = 18,202,164,990 × 18,202,164,990
  4. Step 4: Simplify right side
    8,393,024,334x = 331,318,810,323,181,699,072
  5. Step 5: Solve for x
    x = 331,318,810,323,181,699,072/8,393,024,334
  6. Step 6: Final answer
    x = 39,475,497,405.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.