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Finding the Third Proportional to 10,231,959,076 and 22,265,639,380

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Solution

The third proportional to 10,231,959,076 and 22,265,639,380 is: 48,451,982,002.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,231,959,076 : 22,265,639,380 = 22,265,639,380 : x
  2. Step 2: Convert to fraction form
    10,231,959,076/22,265,639,380 = 22,265,639,380/x
  3. Step 3: Cross multiply
    10,231,959,076x = 22,265,639,380 × 22,265,639,380
  4. Step 4: Simplify right side
    10,231,959,076x = 495,758,697,000,206,794,752
  5. Step 5: Solve for x
    x = 495,758,697,000,206,794,752/10,231,959,076
  6. Step 6: Final answer
    x = 48,451,982,002.45

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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.