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Finding the Third Proportional to 769,661,923 and 1,680,454,237

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Solution

The third proportional to 769,661,923 and 1,680,454,237 is: 3,669,047,874.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,661,923 : 1,680,454,237 = 1,680,454,237 : x
  2. Step 2: Convert to fraction form
    769,661,923/1,680,454,237 = 1,680,454,237/x
  3. Step 3: Cross multiply
    769,661,923x = 1,680,454,237 × 1,680,454,237
  4. Step 4: Simplify right side
    769,661,923x = 2,823,926,442,651,252,224
  5. Step 5: Solve for x
    x = 2,823,926,442,651,252,224/769,661,923
  6. Step 6: Final answer
    x = 3,669,047,874.48

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Why These Related Problems?

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