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Finding the Third Proportional to 13,619,860,121 and 19,171,406,620

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Solution

The third proportional to 13,619,860,121 and 19,171,406,620 is: 26,985,800,773.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,619,860,121 : 19,171,406,620 = 19,171,406,620 : x
  2. Step 2: Convert to fraction form
    13,619,860,121/19,171,406,620 = 19,171,406,620/x
  3. Step 3: Cross multiply
    13,619,860,121x = 19,171,406,620 × 19,171,406,620
  4. Step 4: Simplify right side
    13,619,860,121x = 367,542,831,789,379,813,376
  5. Step 5: Solve for x
    x = 367,542,831,789,379,813,376/13,619,860,121
  6. Step 6: Final answer
    x = 26,985,800,773.58

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.