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Finding the Third Proportional to 113,370,824,832 and 243,566,245,008

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Solution

The third proportional to 113,370,824,832 and 243,566,245,008 is: 523,278,504,811.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,370,824,832 : 243,566,245,008 = 243,566,245,008 : x
  2. Step 2: Convert to fraction form
    113,370,824,832/243,566,245,008 = 243,566,245,008/x
  3. Step 3: Cross multiply
    113,370,824,832x = 243,566,245,008 × 243,566,245,008
  4. Step 4: Simplify right side
    113,370,824,832x = 59,324,515,707,297,088,929,792
  5. Step 5: Solve for x
    x = 59,324,515,707,297,088,929,792/113,370,824,832
  6. Step 6: Final answer
    x = 523,278,504,811.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.