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Finding the Third Proportional to 664,282,199 and 1,427,146,009

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Solution

The third proportional to 664,282,199 and 1,427,146,009 is: 3,066,085,067.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,282,199 : 1,427,146,009 = 1,427,146,009 : x
  2. Step 2: Convert to fraction form
    664,282,199/1,427,146,009 = 1,427,146,009/x
  3. Step 3: Cross multiply
    664,282,199x = 1,427,146,009 × 1,427,146,009
  4. Step 4: Simplify right side
    664,282,199x = 2,036,745,731,004,627,968
  5. Step 5: Solve for x
    x = 2,036,745,731,004,627,968/664,282,199
  6. Step 6: Final answer
    x = 3,066,085,067.57

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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.