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Finding the Third Proportional to 3,336,410,096 and 7,189,516,380

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Solution

The third proportional to 3,336,410,096 and 7,189,516,380 is: 15,492,443,761.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,336,410,096 : 7,189,516,380 = 7,189,516,380 : x
  2. Step 2: Convert to fraction form
    3,336,410,096/7,189,516,380 = 7,189,516,380/x
  3. Step 3: Cross multiply
    3,336,410,096x = 7,189,516,380 × 7,189,516,380
  4. Step 4: Simplify right side
    3,336,410,096x = 51,689,145,778,288,304,128
  5. Step 5: Solve for x
    x = 51,689,145,778,288,304,128/3,336,410,096
  6. Step 6: Final answer
    x = 15,492,443,761.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.