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Finding the Third Proportional to 3,998,269,233,562.20 and 8,598,264,237,975.80

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Solution

The third proportional to 3,998,269,233,562.20 and 8,598,264,237,975.80 is: 18,490,537,677,020.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,998,269,233,562.20 : 8,598,264,237,975.80 = 8,598,264,237,975.80 : x
  2. Step 2: Convert to fraction form
    3,998,269,233,562.20/8,598,264,237,975.80 = 8,598,264,237,975.80/x
  3. Step 3: Cross multiply
    3,998,269,233,562.20x = 8,598,264,237,975.80 × 8,598,264,237,975.80
  4. Step 4: Simplify right side
    3,998,269,233,562.20x = 73,930,147,906,053,558,524,444,672
  5. Step 5: Solve for x
    x = 73,930,147,906,053,558,524,444,672/3,998,269,233,562.20
  6. Step 6: Final answer
    x = 18,490,537,677,020.45

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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.