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Finding the Third Proportional to 1,919,398,832,469 and 3,997,665,177,534

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Solution

The third proportional to 1,919,398,832,469 and 3,997,665,177,534 is: 8,326,214,750,850.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,919,398,832,469 : 3,997,665,177,534 = 3,997,665,177,534 : x
  2. Step 2: Convert to fraction form
    1,919,398,832,469/3,997,665,177,534 = 3,997,665,177,534/x
  3. Step 3: Cross multiply
    1,919,398,832,469x = 3,997,665,177,534 × 3,997,665,177,534
  4. Step 4: Simplify right side
    1,919,398,832,469x = 15,981,326,871,667,947,629,182,976
  5. Step 5: Solve for x
    x = 15,981,326,871,667,947,629,182,976/1,919,398,832,469
  6. Step 6: Final answer
    x = 8,326,214,750,850.15

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.