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Finding the Third Proportional to 32,496,991 and 50,481,289

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Solution

The third proportional to 32,496,991 and 50,481,289 is: 78,418,353.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,496,991 : 50,481,289 = 50,481,289 : x
  2. Step 2: Convert to fraction form
    32,496,991/50,481,289 = 50,481,289/x
  3. Step 3: Cross multiply
    32,496,991x = 50,481,289 × 50,481,289
  4. Step 4: Simplify right side
    32,496,991x = 2,548,360,539,101,521
  5. Step 5: Solve for x
    x = 2,548,360,539,101,521/32,496,991
  6. Step 6: Final answer
    x = 78,418,353.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.