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Finding the Third Proportional to 769,661,921 and 1,680,454,233

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Solution

The third proportional to 769,661,921 and 1,680,454,233 is: 3,669,047,866.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,661,921 : 1,680,454,233 = 1,680,454,233 : x
  2. Step 2: Convert to fraction form
    769,661,921/1,680,454,233 = 1,680,454,233/x
  3. Step 3: Cross multiply
    769,661,921x = 1,680,454,233 × 1,680,454,233
  4. Step 4: Simplify right side
    769,661,921x = 2,823,926,429,207,618,048
  5. Step 5: Solve for x
    x = 2,823,926,429,207,618,048/769,661,921
  6. Step 6: Final answer
    x = 3,669,047,866.55

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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.