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Finding the Third Proportional to 76,720,016 and 164,322,544

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Solution

The third proportional to 76,720,016 and 164,322,544 is: 351,953,764.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,720,016 : 164,322,544 = 164,322,544 : x
  2. Step 2: Convert to fraction form
    76,720,016/164,322,544 = 164,322,544/x
  3. Step 3: Cross multiply
    76,720,016x = 164,322,544 × 164,322,544
  4. Step 4: Simplify right side
    76,720,016x = 27,001,898,466,631,936
  5. Step 5: Solve for x
    x = 27,001,898,466,631,936/76,720,016
  6. Step 6: Final answer
    x = 351,953,764.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.