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Finding the Third Proportional to 5,375,680,884 and 7,474,454,574

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Solution

The third proportional to 5,375,680,884 and 7,474,454,574 is: 10,392,631,628.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,375,680,884 : 7,474,454,574 = 7,474,454,574 : x
  2. Step 2: Convert to fraction form
    5,375,680,884/7,474,454,574 = 7,474,454,574/x
  3. Step 3: Cross multiply
    5,375,680,884x = 7,474,454,574 × 7,474,454,574
  4. Step 4: Simplify right side
    5,375,680,884x = 55,867,471,178,789,519,360
  5. Step 5: Solve for x
    x = 55,867,471,178,789,519,360/5,375,680,884
  6. Step 6: Final answer
    x = 10,392,631,628.32

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.