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Finding the Third Proportional to 8,177,893,876 and 17,504,587,492

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Solution

The third proportional to 8,177,893,876 and 17,504,587,492 is: 37,468,153,525.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,177,893,876 : 17,504,587,492 = 17,504,587,492 : x
  2. Step 2: Convert to fraction form
    8,177,893,876/17,504,587,492 = 17,504,587,492/x
  3. Step 3: Cross multiply
    8,177,893,876x = 17,504,587,492 × 17,504,587,492
  4. Step 4: Simplify right side
    8,177,893,876x = 306,410,583,265,082,867,712
  5. Step 5: Solve for x
    x = 306,410,583,265,082,867,712/8,177,893,876
  6. Step 6: Final answer
    x = 37,468,153,525.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.