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Finding the Third Proportional to 277,487,277,254 and 441,536,807,667

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Solution

The third proportional to 277,487,277,254 and 441,536,807,667 is: 702,571,860,065.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,487,277,254 : 441,536,807,667 = 441,536,807,667 : x
  2. Step 2: Convert to fraction form
    277,487,277,254/441,536,807,667 = 441,536,807,667/x
  3. Step 3: Cross multiply
    277,487,277,254x = 441,536,807,667 × 441,536,807,667
  4. Step 4: Simplify right side
    277,487,277,254x = 194,954,752,524,765,362,126,848
  5. Step 5: Solve for x
    x = 194,954,752,524,765,362,126,848/277,487,277,254
  6. Step 6: Final answer
    x = 702,571,860,065.18

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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.