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Finding the Third Proportional to 7,694,242 and 12,007,191

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Solution

The third proportional to 7,694,242 and 12,007,191 is: 18,737,730.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,694,242 : 12,007,191 = 12,007,191 : x
  2. Step 2: Convert to fraction form
    7,694,242/12,007,191 = 12,007,191/x
  3. Step 3: Cross multiply
    7,694,242x = 12,007,191 × 12,007,191
  4. Step 4: Simplify right side
    7,694,242x = 144,172,635,710,481
  5. Step 5: Solve for x
    x = 144,172,635,710,481/7,694,242
  6. Step 6: Final answer
    x = 18,737,730.85

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.