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Finding the Third Proportional to 5,663,268,728 and 7,874,322,492

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Solution

The third proportional to 5,663,268,728 and 7,874,322,492 is: 10,948,616,017.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,663,268,728 : 7,874,322,492 = 7,874,322,492 : x
  2. Step 2: Convert to fraction form
    5,663,268,728/7,874,322,492 = 7,874,322,492/x
  3. Step 3: Cross multiply
    5,663,268,728x = 7,874,322,492 × 7,874,322,492
  4. Step 4: Simplify right side
    5,663,268,728x = 62,004,954,708,017,086,464
  5. Step 5: Solve for x
    x = 62,004,954,708,017,086,464/5,663,268,728
  6. Step 6: Final answer
    x = 10,948,616,017.72

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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.