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Finding the Third Proportional to 396,152,646 and 868,832,828

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Solution

The third proportional to 396,152,646 and 868,832,828 is: 1,905,504,079.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,152,646 : 868,832,828 = 868,832,828 : x
  2. Step 2: Convert to fraction form
    396,152,646/868,832,828 = 868,832,828/x
  3. Step 3: Cross multiply
    396,152,646x = 868,832,828 × 868,832,828
  4. Step 4: Simplify right side
    396,152,646x = 754,870,483,010,477,568
  5. Step 5: Solve for x
    x = 754,870,483,010,477,568/396,152,646
  6. Step 6: Final answer
    x = 1,905,504,079.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.