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Finding the Third Proportional to 277,487,277,138 and 441,536,807,524

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Solution

The third proportional to 277,487,277,138 and 441,536,807,524 is: 702,571,859,903.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,487,277,138 : 441,536,807,524 = 441,536,807,524 : x
  2. Step 2: Convert to fraction form
    277,487,277,138/441,536,807,524 = 441,536,807,524/x
  3. Step 3: Cross multiply
    277,487,277,138x = 441,536,807,524 × 441,536,807,524
  4. Step 4: Simplify right side
    277,487,277,138x = 194,954,752,398,485,807,431,680
  5. Step 5: Solve for x
    x = 194,954,752,398,485,807,431,680/277,487,277,138
  6. Step 6: Final answer
    x = 702,571,859,903.80

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.