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Finding the Third Proportional to 84,737,204,704 and 179,803,496,672

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Solution

The third proportional to 84,737,204,704 and 179,803,496,672 is: 381,524,237,534.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,737,204,704 : 179,803,496,672 = 179,803,496,672 : x
  2. Step 2: Convert to fraction form
    84,737,204,704/179,803,496,672 = 179,803,496,672/x
  3. Step 3: Cross multiply
    84,737,204,704x = 179,803,496,672 × 179,803,496,672
  4. Step 4: Simplify right side
    84,737,204,704x = 32,329,297,415,477,913,452,544
  5. Step 5: Solve for x
    x = 32,329,297,415,477,913,452,544/84,737,204,704
  6. Step 6: Final answer
    x = 381,524,237,534.26

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.