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Finding the Third Proportional to 59,354,744,059 and 128,007,317,414

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Solution

The third proportional to 59,354,744,059 and 128,007,317,414 is: 276,066,784,067.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,354,744,059 : 128,007,317,414 = 128,007,317,414 : x
  2. Step 2: Convert to fraction form
    59,354,744,059/128,007,317,414 = 128,007,317,414/x
  3. Step 3: Cross multiply
    59,354,744,059x = 128,007,317,414 × 128,007,317,414
  4. Step 4: Simplify right side
    59,354,744,059x = 16,385,873,311,528,548,040,704
  5. Step 5: Solve for x
    x = 16,385,873,311,528,548,040,704/59,354,744,059
  6. Step 6: Final answer
    x = 276,066,784,067.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.