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Finding the Third Proportional to 76,720,017 and 164,322,546

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Solution

The third proportional to 76,720,017 and 164,322,546 is: 351,953,768.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,720,017 : 164,322,546 = 164,322,546 : x
  2. Step 2: Convert to fraction form
    76,720,017/164,322,546 = 164,322,546/x
  3. Step 3: Cross multiply
    76,720,017x = 164,322,546 × 164,322,546
  4. Step 4: Simplify right side
    76,720,017x = 27,001,899,123,922,116
  5. Step 5: Solve for x
    x = 27,001,899,123,922,116/76,720,017
  6. Step 6: Final answer
    x = 351,953,768.78

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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.