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Finding the Third Proportional to 769,659,558 and 1,680,398,016

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Solution

The third proportional to 769,659,558 and 1,680,398,016 is: 3,668,813,649.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,659,558 : 1,680,398,016 = 1,680,398,016 : x
  2. Step 2: Convert to fraction form
    769,659,558/1,680,398,016 = 1,680,398,016/x
  3. Step 3: Cross multiply
    769,659,558x = 1,680,398,016 × 1,680,398,016
  4. Step 4: Simplify right side
    769,659,558x = 2,823,737,492,176,736,256
  5. Step 5: Solve for x
    x = 2,823,737,492,176,736,256/769,659,558
  6. Step 6: Final answer
    x = 3,668,813,649.91

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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.