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Finding the Third Proportional to 1,942,155,046 and 2,839,498,591

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Solution

The third proportional to 1,942,155,046 and 2,839,498,591 is: 4,151,446,232.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,942,155,046 : 2,839,498,591 = 2,839,498,591 : x
  2. Step 2: Convert to fraction form
    1,942,155,046/2,839,498,591 = 2,839,498,591/x
  3. Step 3: Cross multiply
    1,942,155,046x = 2,839,498,591 × 2,839,498,591
  4. Step 4: Simplify right side
    1,942,155,046x = 8,062,752,248,290,984,960
  5. Step 5: Solve for x
    x = 8,062,752,248,290,984,960/1,942,155,046
  6. Step 6: Final answer
    x = 4,151,446,232.32

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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.