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Finding the Third Proportional to 323,240,905,296 and 454,616,706,792

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Solution

The third proportional to 323,240,905,296 and 454,616,706,792 is: 639,387,981,868.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,240,905,296 : 454,616,706,792 = 454,616,706,792 : x
  2. Step 2: Convert to fraction form
    323,240,905,296/454,616,706,792 = 454,616,706,792/x
  3. Step 3: Cross multiply
    323,240,905,296x = 454,616,706,792 × 454,616,706,792
  4. Step 4: Simplify right side
    323,240,905,296x = 206,676,350,094,403,310,714,880
  5. Step 5: Solve for x
    x = 206,676,350,094,403,310,714,880/323,240,905,296
  6. Step 6: Final answer
    x = 639,387,981,868.03

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.