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Finding the Third Proportional to 45,424,082,801 and 98,846,783,842

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Solution

The third proportional to 45,424,082,801 and 98,846,783,842 is: 215,099,261,744.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,424,082,801 : 98,846,783,842 = 98,846,783,842 : x
  2. Step 2: Convert to fraction form
    45,424,082,801/98,846,783,842 = 98,846,783,842/x
  3. Step 3: Cross multiply
    45,424,082,801x = 98,846,783,842 × 98,846,783,842
  4. Step 4: Simplify right side
    45,424,082,801x = 9,770,686,675,907,071,967,232
  5. Step 5: Solve for x
    x = 9,770,686,675,907,071,967,232/45,424,082,801
  6. Step 6: Final answer
    x = 215,099,261,744.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.