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Finding the Third Proportional to 2,067,269,175 and 3,177,542,403

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Solution

The third proportional to 2,067,269,175 and 3,177,542,403 is: 4,884,112,743.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067,269,175 : 3,177,542,403 = 3,177,542,403 : x
  2. Step 2: Convert to fraction form
    2,067,269,175/3,177,542,403 = 3,177,542,403/x
  3. Step 3: Cross multiply
    2,067,269,175x = 3,177,542,403 × 3,177,542,403
  4. Step 4: Simplify right side
    2,067,269,175x = 10,096,775,722,863,013,888
  5. Step 5: Solve for x
    x = 10,096,775,722,863,013,888/2,067,269,175
  6. Step 6: Final answer
    x = 4,884,112,743.98

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