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Finding the Third Proportional to 84,035,578 and 182,795,012

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Solution

The third proportional to 84,035,578 and 182,795,012 is: 397,617,499.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,035,578 : 182,795,012 = 182,795,012 : x
  2. Step 2: Convert to fraction form
    84,035,578/182,795,012 = 182,795,012/x
  3. Step 3: Cross multiply
    84,035,578x = 182,795,012 × 182,795,012
  4. Step 4: Simplify right side
    84,035,578x = 33,414,016,412,080,144
  5. Step 5: Solve for x
    x = 33,414,016,412,080,144/84,035,578
  6. Step 6: Final answer
    x = 397,617,499.72

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