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Finding the Third Proportional to 45,424,082,799 and 98,846,783,838

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Solution

The third proportional to 45,424,082,799 and 98,846,783,838 is: 215,099,261,736.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,424,082,799 : 98,846,783,838 = 98,846,783,838 : x
  2. Step 2: Convert to fraction form
    45,424,082,799/98,846,783,838 = 98,846,783,838/x
  3. Step 3: Cross multiply
    45,424,082,799x = 98,846,783,838 × 98,846,783,838
  4. Step 4: Simplify right side
    45,424,082,799x = 9,770,686,675,116,298,862,592
  5. Step 5: Solve for x
    x = 9,770,686,675,116,298,862,592/45,424,082,799
  6. Step 6: Final answer
    x = 215,099,261,736.36

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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.