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Finding the Third Proportional to 3,993,018,046 and 8,617,388,002

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Solution

The third proportional to 3,993,018,046 and 8,617,388,002 is: 18,597,305,376.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,993,018,046 : 8,617,388,002 = 8,617,388,002 : x
  2. Step 2: Convert to fraction form
    3,993,018,046/8,617,388,002 = 8,617,388,002/x
  3. Step 3: Cross multiply
    3,993,018,046x = 8,617,388,002 × 8,617,388,002
  4. Step 4: Simplify right side
    3,993,018,046x = 74,259,375,977,013,559,296
  5. Step 5: Solve for x
    x = 74,259,375,977,013,559,296/3,993,018,046
  6. Step 6: Final answer
    x = 18,597,305,376.92

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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.