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Finding the Third Proportional to 1,993,969,832 and 4,363,193,876

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Solution

The third proportional to 1,993,969,832 and 4,363,193,876 is: 9,547,516,965.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,993,969,832 : 4,363,193,876 = 4,363,193,876 : x
  2. Step 2: Convert to fraction form
    1,993,969,832/4,363,193,876 = 4,363,193,876/x
  3. Step 3: Cross multiply
    1,993,969,832x = 4,363,193,876 × 4,363,193,876
  4. Step 4: Simplify right side
    1,993,969,832x = 19,037,460,799,563,902,976
  5. Step 5: Solve for x
    x = 19,037,460,799,563,902,976/1,993,969,832
  6. Step 6: Final answer
    x = 9,547,516,965.42

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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.