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Finding the Third Proportional to 5,663,268,711 and 7,874,322,462

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Solution

The third proportional to 5,663,268,711 and 7,874,322,462 is: 10,948,615,967.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,663,268,711 : 7,874,322,462 = 7,874,322,462 : x
  2. Step 2: Convert to fraction form
    5,663,268,711/7,874,322,462 = 7,874,322,462/x
  3. Step 3: Cross multiply
    5,663,268,711x = 7,874,322,462 × 7,874,322,462
  4. Step 4: Simplify right side
    5,663,268,711x = 62,004,954,235,557,740,544
  5. Step 5: Solve for x
    x = 62,004,954,235,557,740,544/5,663,268,711
  6. Step 6: Final answer
    x = 10,948,615,967.16

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Why These Related Problems?

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