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Finding the Third Proportional to 218,179,046 and 484,787,992

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Solution

The third proportional to 218,179,046 and 484,787,992 is: 1,077,185,923.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,179,046 : 484,787,992 = 484,787,992 : x
  2. Step 2: Convert to fraction form
    218,179,046/484,787,992 = 484,787,992/x
  3. Step 3: Cross multiply
    218,179,046x = 484,787,992 × 484,787,992
  4. Step 4: Simplify right side
    218,179,046x = 235,019,397,187,392,064
  5. Step 5: Solve for x
    x = 235,019,397,187,392,064/218,179,046
  6. Step 6: Final answer
    x = 1,077,185,923.65

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.