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Finding the Third Proportional to 6,899,960,493 and 11,265,821,352

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Solution

The third proportional to 6,899,960,493 and 11,265,821,352 is: 18,394,124,265.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,899,960,493 : 11,265,821,352 = 11,265,821,352 : x
  2. Step 2: Convert to fraction form
    6,899,960,493/11,265,821,352 = 11,265,821,352/x
  3. Step 3: Cross multiply
    6,899,960,493x = 11,265,821,352 × 11,265,821,352
  4. Step 4: Simplify right side
    6,899,960,493x = 126,918,730,735,179,104,256
  5. Step 5: Solve for x
    x = 126,918,730,735,179,104,256/6,899,960,493
  6. Step 6: Final answer
    x = 18,394,124,265.49

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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.