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Finding the Third Proportional to 10,231,959,183 and 22,265,639,597

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Solution

The third proportional to 10,231,959,183 and 22,265,639,597 is: 48,451,982,440.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,231,959,183 : 22,265,639,597 = 22,265,639,597 : x
  2. Step 2: Convert to fraction form
    10,231,959,183/22,265,639,597 = 22,265,639,597/x
  3. Step 3: Cross multiply
    10,231,959,183x = 22,265,639,597 × 22,265,639,597
  4. Step 4: Simplify right side
    10,231,959,183x = 495,758,706,663,494,320,128
  5. Step 5: Solve for x
    x = 495,758,706,663,494,320,128/10,231,959,183
  6. Step 6: Final answer
    x = 48,451,982,440.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.