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Finding the Third Proportional to 303,536,912,084 and 674,940,345,489

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Solution

The third proportional to 303,536,912,084 and 674,940,345,489 is: 1,500,787,719,164.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,536,912,084 : 674,940,345,489 = 674,940,345,489 : x
  2. Step 2: Convert to fraction form
    303,536,912,084/674,940,345,489 = 674,940,345,489/x
  3. Step 3: Cross multiply
    303,536,912,084x = 674,940,345,489 × 674,940,345,489
  4. Step 4: Simplify right side
    303,536,912,084x = 455,544,469,968,810,697,293,824
  5. Step 5: Solve for x
    x = 455,544,469,968,810,697,293,824/303,536,912,084
  6. Step 6: Final answer
    x = 1,500,787,719,164.60

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.