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Finding the Third Proportional to 73,599,577,344 and 120,168,759,168

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Solution

The third proportional to 73,599,577,344 and 120,168,759,168 is: 196,203,989,222.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,599,577,344 : 120,168,759,168 = 120,168,759,168 : x
  2. Step 2: Convert to fraction form
    73,599,577,344/120,168,759,168 = 120,168,759,168/x
  3. Step 3: Cross multiply
    73,599,577,344x = 120,168,759,168 × 120,168,759,168
  4. Step 4: Simplify right side
    73,599,577,344x = 14,440,530,679,976,784,035,840
  5. Step 5: Solve for x
    x = 14,440,530,679,976,784,035,840/73,599,577,344
  6. Step 6: Final answer
    x = 196,203,989,222.42

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.