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Finding the Third Proportional to 769,659,937.88 and 1,680,398,790.75

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Solution

The third proportional to 769,659,937.88 and 1,680,398,790.75 is: 3,668,815,222.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,659,937.88 : 1,680,398,790.75 = 1,680,398,790.75 : x
  2. Step 2: Convert to fraction form
    769,659,937.88/1,680,398,790.75 = 1,680,398,790.75/x
  3. Step 3: Cross multiply
    769,659,937.88x = 1,680,398,790.75 × 1,680,398,790.75
  4. Step 4: Simplify right side
    769,659,937.88x = 2,823,740,095,954,062,336
  5. Step 5: Solve for x
    x = 2,823,740,095,954,062,336/769,659,937.88
  6. Step 6: Final answer
    x = 3,668,815,222.15

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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.