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Finding the Third Proportional to 640,761,845 and 962,848,811

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Solution

The third proportional to 640,761,845 and 962,848,811 is: 1,446,836,824.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,761,845 : 962,848,811 = 962,848,811 : x
  2. Step 2: Convert to fraction form
    640,761,845/962,848,811 = 962,848,811/x
  3. Step 3: Cross multiply
    640,761,845x = 962,848,811 × 962,848,811
  4. Step 4: Simplify right side
    640,761,845x = 927,077,832,844,113,664
  5. Step 5: Solve for x
    x = 927,077,832,844,113,664/640,761,845
  6. Step 6: Final answer
    x = 1,446,836,824.13

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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.