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Finding the Third Proportional to 7,694,196 and 11,961,307

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Solution

The third proportional to 7,694,196 and 11,961,307 is: 18,594,907.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,694,196 : 11,961,307 = 11,961,307 : x
  2. Step 2: Convert to fraction form
    7,694,196/11,961,307 = 11,961,307/x
  3. Step 3: Cross multiply
    7,694,196x = 11,961,307 × 11,961,307
  4. Step 4: Simplify right side
    7,694,196x = 143,072,865,148,249
  5. Step 5: Solve for x
    x = 143,072,865,148,249/7,694,196
  6. Step 6: Final answer
    x = 18,594,907.79

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.