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Finding the Third Proportional to 1,994,520,048 and 2,980,616,976

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Solution

The third proportional to 1,994,520,048 and 2,980,616,976 is: 4,454,243,298.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,994,520,048 : 2,980,616,976 = 2,980,616,976 : x
  2. Step 2: Convert to fraction form
    1,994,520,048/2,980,616,976 = 2,980,616,976/x
  3. Step 3: Cross multiply
    1,994,520,048x = 2,980,616,976 × 2,980,616,976
  4. Step 4: Simplify right side
    1,994,520,048x = 8,884,077,557,619,384,320
  5. Step 5: Solve for x
    x = 8,884,077,557,619,384,320/1,994,520,048
  6. Step 6: Final answer
    x = 4,454,243,298.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.