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Finding the Third Proportional to 17,677,496,601 and 38,297,310,093

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Solution

The third proportional to 17,677,496,601 and 38,297,310,093 is: 82,968,985,567.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,677,496,601 : 38,297,310,093 = 38,297,310,093 : x
  2. Step 2: Convert to fraction form
    17,677,496,601/38,297,310,093 = 38,297,310,093/x
  3. Step 3: Cross multiply
    17,677,496,601x = 38,297,310,093 × 38,297,310,093
  4. Step 4: Simplify right side
    17,677,496,601x = 1,466,683,960,359,399,718,912
  5. Step 5: Solve for x
    x = 1,466,683,960,359,399,718,912/17,677,496,601
  6. Step 6: Final answer
    x = 82,968,985,567.58

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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.