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Finding the Third Proportional to 377,108,640 and 811,851,264

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Solution

The third proportional to 377,108,640 and 811,851,264 is: 1,747,778,769.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,108,640 : 811,851,264 = 811,851,264 : x
  2. Step 2: Convert to fraction form
    377,108,640/811,851,264 = 811,851,264/x
  3. Step 3: Cross multiply
    377,108,640x = 811,851,264 × 811,851,264
  4. Step 4: Simplify right side
    377,108,640x = 659,102,474,858,397,696
  5. Step 5: Solve for x
    x = 659,102,474,858,397,696/377,108,640
  6. Step 6: Final answer
    x = 1,747,778,769.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.