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Finding the Third Proportional to 640,061,835.75 and 1,396,419,993

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Solution

The third proportional to 640,061,835.75 and 1,396,419,993 is: 3,046,563,141.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,061,835.75 : 1,396,419,993 = 1,396,419,993 : x
  2. Step 2: Convert to fraction form
    640,061,835.75/1,396,419,993 = 1,396,419,993/x
  3. Step 3: Cross multiply
    640,061,835.75x = 1,396,419,993 × 1,396,419,993
  4. Step 4: Simplify right side
    640,061,835.75x = 1,949,988,796,850,119,936
  5. Step 5: Solve for x
    x = 1,949,988,796,850,119,936/640,061,835.75
  6. Step 6: Final answer
    x = 3,046,563,141.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.