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Finding the Third Proportional to 8,183,000,305 and 17,643,280,539

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Solution

The third proportional to 8,183,000,305 and 17,643,280,539 is: 38,040,490,843.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,183,000,305 : 17,643,280,539 = 17,643,280,539 : x
  2. Step 2: Convert to fraction form
    8,183,000,305/17,643,280,539 = 17,643,280,539/x
  3. Step 3: Cross multiply
    8,183,000,305x = 17,643,280,539 × 17,643,280,539
  4. Step 4: Simplify right side
    8,183,000,305x = 311,285,348,177,856,102,400
  5. Step 5: Solve for x
    x = 311,285,348,177,856,102,400/8,183,000,305
  6. Step 6: Final answer
    x = 38,040,490,843.88

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.