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Finding the Third Proportional to 32,257,950 and 47,782,233

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Solution

The third proportional to 32,257,950 and 47,782,233 is: 70,777,646.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,257,950 : 47,782,233 = 47,782,233 : x
  2. Step 2: Convert to fraction form
    32,257,950/47,782,233 = 47,782,233/x
  3. Step 3: Cross multiply
    32,257,950x = 47,782,233 × 47,782,233
  4. Step 4: Simplify right side
    32,257,950x = 2,283,141,790,466,289
  5. Step 5: Solve for x
    x = 2,283,141,790,466,289/32,257,950
  6. Step 6: Final answer
    x = 70,777,646.77

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.