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Finding the Third Proportional to 3,998,269,233,562.20 and 8,598,264,237,976.20

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Solution

The third proportional to 3,998,269,233,562.20 and 8,598,264,237,976.20 is: 18,490,537,677,022.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,998,269,233,562.20 : 8,598,264,237,976.20 = 8,598,264,237,976.20 : x
  2. Step 2: Convert to fraction form
    3,998,269,233,562.20/8,598,264,237,976.20 = 8,598,264,237,976.20/x
  3. Step 3: Cross multiply
    3,998,269,233,562.20x = 8,598,264,237,976.20 × 8,598,264,237,976.20
  4. Step 4: Simplify right side
    3,998,269,233,562.20x = 73,930,147,906,060,447,651,987,456
  5. Step 5: Solve for x
    x = 73,930,147,906,060,447,651,987,456/3,998,269,233,562.20
  6. Step 6: Final answer
    x = 18,490,537,677,022.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.