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Finding the Third Proportional to 664,282,183 and 1,427,145,979

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Solution

The third proportional to 664,282,183 and 1,427,145,979 is: 3,066,085,012.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,282,183 : 1,427,145,979 = 1,427,145,979 : x
  2. Step 2: Convert to fraction form
    664,282,183/1,427,145,979 = 1,427,145,979/x
  3. Step 3: Cross multiply
    664,282,183x = 1,427,145,979 × 1,427,145,979
  4. Step 4: Simplify right side
    664,282,183x = 2,036,745,645,375,868,416
  5. Step 5: Solve for x
    x = 2,036,745,645,375,868,416/664,282,183
  6. Step 6: Final answer
    x = 3,066,085,012.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.