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Finding the Third Proportional to 13,619,860,126 and 19,171,406,626

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Solution

The third proportional to 13,619,860,126 and 19,171,406,626 is: 26,985,800,780.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,619,860,126 : 19,171,406,626 = 19,171,406,626 : x
  2. Step 2: Convert to fraction form
    13,619,860,126/19,171,406,626 = 19,171,406,626/x
  3. Step 3: Cross multiply
    13,619,860,126x = 19,171,406,626 × 19,171,406,626
  4. Step 4: Simplify right side
    13,619,860,126x = 367,542,832,019,436,732,416
  5. Step 5: Solve for x
    x = 367,542,832,019,436,732,416/13,619,860,126
  6. Step 6: Final answer
    x = 26,985,800,780.57

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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.