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Finding the Third Proportional to 7,194,120,512 and 10,791,180,765

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Solution

The third proportional to 7,194,120,512 and 10,791,180,765 is: 16,186,771,143

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,194,120,512 : 10,791,180,765 = 10,791,180,765 : x
  2. Step 2: Convert to fraction form
    7,194,120,512/10,791,180,765 = 10,791,180,765/x
  3. Step 3: Cross multiply
    7,194,120,512x = 10,791,180,765 × 10,791,180,765
  4. Step 4: Simplify right side
    7,194,120,512x = 116,449,582,302,905,991,168
  5. Step 5: Solve for x
    x = 116,449,582,302,905,991,168/7,194,120,512
  6. Step 6: Final answer
    x = 16,186,771,143

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.