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Finding the Third Proportional to 1,441,166,832 and 3,146,593,248

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Solution

The third proportional to 1,441,166,832 and 3,146,593,248 is: 6,870,161,627.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,441,166,832 : 3,146,593,248 = 3,146,593,248 : x
  2. Step 2: Convert to fraction form
    1,441,166,832/3,146,593,248 = 3,146,593,248/x
  3. Step 3: Cross multiply
    1,441,166,832x = 3,146,593,248 × 3,146,593,248
  4. Step 4: Simplify right side
    1,441,166,832x = 9,901,049,068,359,188,480
  5. Step 5: Solve for x
    x = 9,901,049,068,359,188,480/1,441,166,832
  6. Step 6: Final answer
    x = 6,870,161,627.73

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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.