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Finding the Third Proportional to 277,487,277,097 and 441,536,807,463

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Solution

The third proportional to 277,487,277,097 and 441,536,807,463 is: 702,571,859,813.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,487,277,097 : 441,536,807,463 = 441,536,807,463 : x
  2. Step 2: Convert to fraction form
    277,487,277,097/441,536,807,463 = 441,536,807,463/x
  3. Step 3: Cross multiply
    277,487,277,097x = 441,536,807,463 × 441,536,807,463
  4. Step 4: Simplify right side
    277,487,277,097x = 194,954,752,344,618,327,605,248
  5. Step 5: Solve for x
    x = 194,954,752,344,618,327,605,248/277,487,277,097
  6. Step 6: Final answer
    x = 702,571,859,813.48

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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.