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Finding the Third Proportional to 1,827,687,228 and 2,784,384,384

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Solution

The third proportional to 1,827,687,228 and 2,784,384,384 is: 4,241,861,670.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827,687,228 : 2,784,384,384 = 2,784,384,384 : x
  2. Step 2: Convert to fraction form
    1,827,687,228/2,784,384,384 = 2,784,384,384/x
  3. Step 3: Cross multiply
    1,827,687,228x = 2,784,384,384 × 2,784,384,384
  4. Step 4: Simplify right side
    1,827,687,228x = 7,752,796,397,863,059,456
  5. Step 5: Solve for x
    x = 7,752,796,397,863,059,456/1,827,687,228
  6. Step 6: Final answer
    x = 4,241,861,670.36

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.