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Finding the Third Proportional to 3,397,437,070 and 7,382,956,867

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Solution

The third proportional to 3,397,437,070 and 7,382,956,867 is: 16,043,873,948.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,397,437,070 : 7,382,956,867 = 7,382,956,867 : x
  2. Step 2: Convert to fraction form
    3,397,437,070/7,382,956,867 = 7,382,956,867/x
  3. Step 3: Cross multiply
    3,397,437,070x = 7,382,956,867 × 7,382,956,867
  4. Step 4: Simplify right side
    3,397,437,070x = 54,508,052,099,982,458,880
  5. Step 5: Solve for x
    x = 54,508,052,099,982,458,880/3,397,437,070
  6. Step 6: Final answer
    x = 16,043,873,948.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.