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Finding the Third Proportional to 6,899,960,394 and 11,265,821,199

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Solution

The third proportional to 6,899,960,394 and 11,265,821,199 is: 18,394,124,029.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,899,960,394 : 11,265,821,199 = 11,265,821,199 : x
  2. Step 2: Convert to fraction form
    6,899,960,394/11,265,821,199 = 11,265,821,199/x
  3. Step 3: Cross multiply
    6,899,960,394x = 11,265,821,199 × 11,265,821,199
  4. Step 4: Simplify right side
    6,899,960,394x = 126,918,727,287,837,802,496
  5. Step 5: Solve for x
    x = 126,918,727,287,837,802,496/6,899,960,394
  6. Step 6: Final answer
    x = 18,394,124,029.78

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.