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Finding the Third Proportional to 6,899,960,388 and 11,265,821,190

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Solution

The third proportional to 6,899,960,388 and 11,265,821,190 is: 18,394,124,016.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,899,960,388 : 11,265,821,190 = 11,265,821,190 : x
  2. Step 2: Convert to fraction form
    6,899,960,388/11,265,821,190 = 11,265,821,190/x
  3. Step 3: Cross multiply
    6,899,960,388x = 11,265,821,190 × 11,265,821,190
  4. Step 4: Simplify right side
    6,899,960,388x = 126,918,727,085,053,018,112
  5. Step 5: Solve for x
    x = 126,918,727,085,053,018,112/6,899,960,388
  6. Step 6: Final answer
    x = 18,394,124,016.39

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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.