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Finding the Third Proportional to 1,942,155,048 and 2,839,498,594

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Solution

The third proportional to 1,942,155,048 and 2,839,498,594 is: 4,151,446,236.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,942,155,048 : 2,839,498,594 = 2,839,498,594 : x
  2. Step 2: Convert to fraction form
    1,942,155,048/2,839,498,594 = 2,839,498,594/x
  3. Step 3: Cross multiply
    1,942,155,048x = 2,839,498,594 × 2,839,498,594
  4. Step 4: Simplify right side
    1,942,155,048x = 8,062,752,265,327,976,448
  5. Step 5: Solve for x
    x = 8,062,752,265,327,976,448/1,942,155,048
  6. Step 6: Final answer
    x = 4,151,446,236.81

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.