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Finding the Third Proportional to 34,647,111,728 and 74,266,783,408

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Solution

The third proportional to 34,647,111,728 and 74,266,783,408 is: 159,192,349,453.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,647,111,728 : 74,266,783,408 = 74,266,783,408 : x
  2. Step 2: Convert to fraction form
    34,647,111,728/74,266,783,408 = 74,266,783,408/x
  3. Step 3: Cross multiply
    34,647,111,728x = 74,266,783,408 × 74,266,783,408
  4. Step 4: Simplify right side
    34,647,111,728x = 5,515,555,117,770,783,850,496
  5. Step 5: Solve for x
    x = 5,515,555,117,770,783,850,496/34,647,111,728
  6. Step 6: Final answer
    x = 159,192,349,453.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.