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Finding the Third Proportional to 3,876,471,461 and 8,454,543,460

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Solution

The third proportional to 3,876,471,461 and 8,454,543,460 is: 18,439,270,309.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876,471,461 : 8,454,543,460 = 8,454,543,460 : x
  2. Step 2: Convert to fraction form
    3,876,471,461/8,454,543,460 = 8,454,543,460/x
  3. Step 3: Cross multiply
    3,876,471,461x = 8,454,543,460 × 8,454,543,460
  4. Step 4: Simplify right side
    3,876,471,461x = 71,479,305,117,028,769,792
  5. Step 5: Solve for x
    x = 71,479,305,117,028,769,792/3,876,471,461
  6. Step 6: Final answer
    x = 18,439,270,309.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.