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Finding the Third Proportional to 6,612,827,322 and 14,277,611,760

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Solution

The third proportional to 6,612,827,322 and 14,277,611,760 is: 30,826,481,267.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,612,827,322 : 14,277,611,760 = 14,277,611,760 : x
  2. Step 2: Convert to fraction form
    6,612,827,322/14,277,611,760 = 14,277,611,760/x
  3. Step 3: Cross multiply
    6,612,827,322x = 14,277,611,760 × 14,277,611,760
  4. Step 4: Simplify right side
    6,612,827,322x = 203,850,197,569,290,305,536
  5. Step 5: Solve for x
    x = 203,850,197,569,290,305,536/6,612,827,322
  6. Step 6: Final answer
    x = 30,826,481,267.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.