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Finding the Third Proportional to 446,253,343.50 and 964,211,856

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Solution

The third proportional to 446,253,343.50 and 964,211,856 is: 2,083,355,826.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,253,343.50 : 964,211,856 = 964,211,856 : x
  2. Step 2: Convert to fraction form
    446,253,343.50/964,211,856 = 964,211,856/x
  3. Step 3: Cross multiply
    446,253,343.50x = 964,211,856 × 964,211,856
  4. Step 4: Simplify right side
    446,253,343.50x = 929,704,503,250,964,736
  5. Step 5: Solve for x
    x = 929,704,503,250,964,736/446,253,343.50
  6. Step 6: Final answer
    x = 2,083,355,826.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.