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Finding the Third Proportional to 79,766,817,322.50 and 172,770,530,877

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Solution

The third proportional to 79,766,817,322.50 and 172,770,530,877 is: 374,211,449,591.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,766,817,322.50 : 172,770,530,877 = 172,770,530,877 : x
  2. Step 2: Convert to fraction form
    79,766,817,322.50/172,770,530,877 = 172,770,530,877/x
  3. Step 3: Cross multiply
    79,766,817,322.50x = 172,770,530,877 × 172,770,530,877
  4. Step 4: Simplify right side
    79,766,817,322.50x = 29,849,656,339,520,412,450,816
  5. Step 5: Solve for x
    x = 29,849,656,339,520,412,450,816/79,766,817,322.50
  6. Step 6: Final answer
    x = 374,211,449,591.09

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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.