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Finding the Third Proportional to 769,661,919 and 1,680,454,228.50

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Solution

The third proportional to 769,661,919 and 1,680,454,228.50 is: 3,669,047,856.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,661,919 : 1,680,454,228.50 = 1,680,454,228.50 : x
  2. Step 2: Convert to fraction form
    769,661,919/1,680,454,228.50 = 1,680,454,228.50/x
  3. Step 3: Cross multiply
    769,661,919x = 1,680,454,228.50 × 1,680,454,228.50
  4. Step 4: Simplify right side
    769,661,919x = 2,823,926,414,083,530,240
  5. Step 5: Solve for x
    x = 2,823,926,414,083,530,240/769,661,919
  6. Step 6: Final answer
    x = 3,669,047,856.43

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.