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Finding the Third Proportional to 39,694,106 and 85,131,552

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Solution

The third proportional to 39,694,106 and 85,131,552 is: 182,580,787.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,694,106 : 85,131,552 = 85,131,552 : x
  2. Step 2: Convert to fraction form
    39,694,106/85,131,552 = 85,131,552/x
  3. Step 3: Cross multiply
    39,694,106x = 85,131,552 × 85,131,552
  4. Step 4: Simplify right side
    39,694,106x = 7,247,381,145,928,704
  5. Step 5: Solve for x
    x = 7,247,381,145,928,704/39,694,106
  6. Step 6: Final answer
    x = 182,580,787.84

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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.