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Finding the Third Proportional to 444,131,910 and 962,323,638.75

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Solution

The third proportional to 444,131,910 and 962,323,638.75 is: 2,085,116,526.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,131,910 : 962,323,638.75 = 962,323,638.75 : x
  2. Step 2: Convert to fraction form
    444,131,910/962,323,638.75 = 962,323,638.75/x
  3. Step 3: Cross multiply
    444,131,910x = 962,323,638.75 × 962,323,638.75
  4. Step 4: Simplify right side
    444,131,910x = 926,066,785,697,040,512
  5. Step 5: Solve for x
    x = 926,066,785,697,040,512/444,131,910
  6. Step 6: Final answer
    x = 2,085,116,526.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.