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Finding the Third Proportional to 1,650,447,112 and 2,469,135,282

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Solution

The third proportional to 1,650,447,112 and 2,469,135,282 is: 3,693,925,722.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650,447,112 : 2,469,135,282 = 2,469,135,282 : x
  2. Step 2: Convert to fraction form
    1,650,447,112/2,469,135,282 = 2,469,135,282/x
  3. Step 3: Cross multiply
    1,650,447,112x = 2,469,135,282 × 2,469,135,282
  4. Step 4: Simplify right side
    1,650,447,112x = 6,096,629,040,817,219,584
  5. Step 5: Solve for x
    x = 6,096,629,040,817,219,584/1,650,447,112
  6. Step 6: Final answer
    x = 3,693,925,722.61

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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.