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Finding the Third Proportional to 2,943,454,384 and 4,524,300,422

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Solution

The third proportional to 2,943,454,384 and 4,524,300,422 is: 6,954,174,122.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,943,454,384 : 4,524,300,422 = 4,524,300,422 : x
  2. Step 2: Convert to fraction form
    2,943,454,384/4,524,300,422 = 4,524,300,422/x
  3. Step 3: Cross multiply
    2,943,454,384x = 4,524,300,422 × 4,524,300,422
  4. Step 4: Simplify right side
    2,943,454,384x = 20,469,294,308,509,376,512
  5. Step 5: Solve for x
    x = 20,469,294,308,509,376,512/2,943,454,384
  6. Step 6: Final answer
    x = 6,954,174,122.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.