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Finding the Third Proportional to 3,740,454,519 and 8,131,974,078

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Solution

The third proportional to 3,740,454,519 and 8,131,974,078 is: 17,679,402,882.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,740,454,519 : 8,131,974,078 = 8,131,974,078 : x
  2. Step 2: Convert to fraction form
    3,740,454,519/8,131,974,078 = 8,131,974,078/x
  3. Step 3: Cross multiply
    3,740,454,519x = 8,131,974,078 × 8,131,974,078
  4. Step 4: Simplify right side
    3,740,454,519x = 66,129,002,405,263,949,824
  5. Step 5: Solve for x
    x = 66,129,002,405,263,949,824/3,740,454,519
  6. Step 6: Final answer
    x = 17,679,402,882.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.