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Finding the Third Proportional to 3,993,018,048 and 8,617,388,006

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Solution

The third proportional to 3,993,018,048 and 8,617,388,006 is: 18,597,305,384.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,993,018,048 : 8,617,388,006 = 8,617,388,006 : x
  2. Step 2: Convert to fraction form
    3,993,018,048/8,617,388,006 = 8,617,388,006/x
  3. Step 3: Cross multiply
    3,993,018,048x = 8,617,388,006 × 8,617,388,006
  4. Step 4: Simplify right side
    3,993,018,048x = 74,259,376,045,952,663,552
  5. Step 5: Solve for x
    x = 74,259,376,045,952,663,552/3,993,018,048
  6. Step 6: Final answer
    x = 18,597,305,384.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.