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Finding the Third Proportional to 3,470,384,200 and 5,286,891,881

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Solution

The third proportional to 3,470,384,200 and 5,286,891,881 is: 8,054,216,522.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470,384,200 : 5,286,891,881 = 5,286,891,881 : x
  2. Step 2: Convert to fraction form
    3,470,384,200/5,286,891,881 = 5,286,891,881/x
  3. Step 3: Cross multiply
    3,470,384,200x = 5,286,891,881 × 5,286,891,881
  4. Step 4: Simplify right side
    3,470,384,200x = 27,951,225,761,383,718,912
  5. Step 5: Solve for x
    x = 27,951,225,761,383,718,912/3,470,384,200
  6. Step 6: Final answer
    x = 8,054,216,522.02

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.