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Finding the Third Proportional to 841,244,163.75 and 1,947,327,918.75

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Solution

The third proportional to 841,244,163.75 and 1,947,327,918.75 is: 4,507,711,537.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    841,244,163.75 : 1,947,327,918.75 = 1,947,327,918.75 : x
  2. Step 2: Convert to fraction form
    841,244,163.75/1,947,327,918.75 = 1,947,327,918.75/x
  3. Step 3: Cross multiply
    841,244,163.75x = 1,947,327,918.75 × 1,947,327,918.75
  4. Step 4: Simplify right side
    841,244,163.75x = 3,792,086,023,143,206,400
  5. Step 5: Solve for x
    x = 3,792,086,023,143,206,400/841,244,163.75
  6. Step 6: Final answer
    x = 4,507,711,537.92

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.