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Finding the Third Proportional to 3,470,384,900 and 5,286,892,926

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Solution

The third proportional to 3,470,384,900 and 5,286,892,926 is: 8,054,218,081.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470,384,900 : 5,286,892,926 = 5,286,892,926 : x
  2. Step 2: Convert to fraction form
    3,470,384,900/5,286,892,926 = 5,286,892,926/x
  3. Step 3: Cross multiply
    3,470,384,900x = 5,286,892,926 × 5,286,892,926
  4. Step 4: Simplify right side
    3,470,384,900x = 27,951,236,810,988,843,008
  5. Step 5: Solve for x
    x = 27,951,236,810,988,843,008/3,470,384,900
  6. Step 6: Final answer
    x = 8,054,218,081.40

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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.