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Finding the Third Proportional to 75,678,780 and 166,007,544

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Solution

The third proportional to 75,678,780 and 166,007,544 is: 364,151,016.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,678,780 : 166,007,544 = 166,007,544 : x
  2. Step 2: Convert to fraction form
    75,678,780/166,007,544 = 166,007,544/x
  3. Step 3: Cross multiply
    75,678,780x = 166,007,544 × 166,007,544
  4. Step 4: Simplify right side
    75,678,780x = 27,558,504,664,911,936
  5. Step 5: Solve for x
    x = 27,558,504,664,911,936/75,678,780
  6. Step 6: Final answer
    x = 364,151,016.51

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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.