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Finding the Third Proportional to 76,647,787,884 and 167,744,807,100

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Solution

The third proportional to 76,647,787,884 and 167,744,807,100 is: 367,111,968,731.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,647,787,884 : 167,744,807,100 = 167,744,807,100 : x
  2. Step 2: Convert to fraction form
    76,647,787,884/167,744,807,100 = 167,744,807,100/x
  3. Step 3: Cross multiply
    76,647,787,884x = 167,744,807,100 × 167,744,807,100
  4. Step 4: Simplify right side
    76,647,787,884x = 28,138,320,309,016,210,702,336
  5. Step 5: Solve for x
    x = 28,138,320,309,016,210,702,336/76,647,787,884
  6. Step 6: Final answer
    x = 367,111,968,731.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.