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Finding the Third Proportional to 382,173,540,121.50 and 593,397,278,073

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Solution

The third proportional to 382,173,540,121.50 and 593,397,278,073 is: 921,362,398,643.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,173,540,121.50 : 593,397,278,073 = 593,397,278,073 : x
  2. Step 2: Convert to fraction form
    382,173,540,121.50/593,397,278,073 = 593,397,278,073/x
  3. Step 3: Cross multiply
    382,173,540,121.50x = 593,397,278,073 × 593,397,278,073
  4. Step 4: Simplify right side
    382,173,540,121.50x = 352,120,329,624,445,261,971,456
  5. Step 5: Solve for x
    x = 352,120,329,624,445,261,971,456/382,173,540,121.50
  6. Step 6: Final answer
    x = 921,362,398,643.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.