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Finding the Third Proportional to 282,305,986 and 611,511,668

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Solution

The third proportional to 282,305,986 and 611,511,668 is: 1,324,614,208.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,305,986 : 611,511,668 = 611,511,668 : x
  2. Step 2: Convert to fraction form
    282,305,986/611,511,668 = 611,511,668/x
  3. Step 3: Cross multiply
    282,305,986x = 611,511,668 × 611,511,668
  4. Step 4: Simplify right side
    282,305,986x = 373,946,520,100,142,208
  5. Step 5: Solve for x
    x = 373,946,520,100,142,208/282,305,986
  6. Step 6: Final answer
    x = 1,324,614,208.15

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