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Finding the Third Proportional to 65,661,800,614 and 133,150,717,984

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Solution

The third proportional to 65,661,800,614 and 133,150,717,984 is: 270,006,511,150.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,661,800,614 : 133,150,717,984 = 133,150,717,984 : x
  2. Step 2: Convert to fraction form
    65,661,800,614/133,150,717,984 = 133,150,717,984/x
  3. Step 3: Cross multiply
    65,661,800,614x = 133,150,717,984 × 133,150,717,984
  4. Step 4: Simplify right side
    65,661,800,614x = 17,729,113,699,654,700,105,728
  5. Step 5: Solve for x
    x = 17,729,113,699,654,700,105,728/65,661,800,614
  6. Step 6: Final answer
    x = 270,006,511,150.63

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These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.