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Finding the Third Proportional to 2,085,336,459 and 3,147,397,204

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Solution

The third proportional to 2,085,336,459 and 3,147,397,204 is: 4,750,364,919.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085,336,459 : 3,147,397,204 = 3,147,397,204 : x
  2. Step 2: Convert to fraction form
    2,085,336,459/3,147,397,204 = 3,147,397,204/x
  3. Step 3: Cross multiply
    2,085,336,459x = 3,147,397,204 × 3,147,397,204
  4. Step 4: Simplify right side
    2,085,336,459x = 9,906,109,159,747,016,704
  5. Step 5: Solve for x
    x = 9,906,109,159,747,016,704/2,085,336,459
  6. Step 6: Final answer
    x = 4,750,364,919.29

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.