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Finding the Third Proportional to 5,663,268,731 and 7,874,322,496

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Solution

The third proportional to 5,663,268,731 and 7,874,322,496 is: 10,948,616,023.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,663,268,731 : 7,874,322,496 = 7,874,322,496 : x
  2. Step 2: Convert to fraction form
    5,663,268,731/7,874,322,496 = 7,874,322,496/x
  3. Step 3: Cross multiply
    5,663,268,731x = 7,874,322,496 × 7,874,322,496
  4. Step 4: Simplify right side
    5,663,268,731x = 62,004,954,771,011,665,920
  5. Step 5: Solve for x
    x = 62,004,954,771,011,665,920/5,663,268,731
  6. Step 6: Final answer
    x = 10,948,616,023.04

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.