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Finding the Third Proportional to 79,438,493,698 and 172,824,015,812

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Solution

The third proportional to 79,438,493,698 and 172,824,015,812 is: 375,990,770,355.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,438,493,698 : 172,824,015,812 = 172,824,015,812 : x
  2. Step 2: Convert to fraction form
    79,438,493,698/172,824,015,812 = 172,824,015,812/x
  3. Step 3: Cross multiply
    79,438,493,698x = 172,824,015,812 × 172,824,015,812
  4. Step 4: Simplify right side
    79,438,493,698x = 29,868,140,441,386,423,943,168
  5. Step 5: Solve for x
    x = 29,868,140,441,386,423,943,168/79,438,493,698
  6. Step 6: Final answer
    x = 375,990,770,355.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.