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Finding the Third Proportional to 2,824,061,512 and 6,156,612,976

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Solution

The third proportional to 2,824,061,512 and 6,156,612,976 is: 13,421,762,654.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824,061,512 : 6,156,612,976 = 6,156,612,976 : x
  2. Step 2: Convert to fraction form
    2,824,061,512/6,156,612,976 = 6,156,612,976/x
  3. Step 3: Cross multiply
    2,824,061,512x = 6,156,612,976 × 6,156,612,976
  4. Step 4: Simplify right side
    2,824,061,512x = 37,903,883,336,251,580,416
  5. Step 5: Solve for x
    x = 37,903,883,336,251,580,416/2,824,061,512
  6. Step 6: Final answer
    x = 13,421,762,654.67

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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.