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Finding the Third Proportional to 446,108,524 and 966,330,105

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Solution

The third proportional to 446,108,524 and 966,330,105 is: 2,093,198,900.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,108,524 : 966,330,105 = 966,330,105 : x
  2. Step 2: Convert to fraction form
    446,108,524/966,330,105 = 966,330,105/x
  3. Step 3: Cross multiply
    446,108,524x = 966,330,105 × 966,330,105
  4. Step 4: Simplify right side
    446,108,524x = 933,793,871,829,310,976
  5. Step 5: Solve for x
    x = 933,793,871,829,310,976/446,108,524
  6. Step 6: Final answer
    x = 2,093,198,900.25

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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.