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Finding the Third Proportional to 681,463,452 and 1,482,325,656

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Solution

The third proportional to 681,463,452 and 1,482,325,656 is: 3,224,368,590.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,463,452 : 1,482,325,656 = 1,482,325,656 : x
  2. Step 2: Convert to fraction form
    681,463,452/1,482,325,656 = 1,482,325,656/x
  3. Step 3: Cross multiply
    681,463,452x = 1,482,325,656 × 1,482,325,656
  4. Step 4: Simplify right side
    681,463,452x = 2,197,289,350,435,830,272
  5. Step 5: Solve for x
    x = 2,197,289,350,435,830,272/681,463,452
  6. Step 6: Final answer
    x = 3,224,368,590.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.