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Finding the Third Proportional to 30,664,089 and 67,550,193

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Solution

The third proportional to 30,664,089 and 67,550,193 is: 148,806,917.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,664,089 : 67,550,193 = 67,550,193 : x
  2. Step 2: Convert to fraction form
    30,664,089/67,550,193 = 67,550,193/x
  3. Step 3: Cross multiply
    30,664,089x = 67,550,193 × 67,550,193
  4. Step 4: Simplify right side
    30,664,089x = 4,563,028,574,337,249
  5. Step 5: Solve for x
    x = 4,563,028,574,337,249/30,664,089
  6. Step 6: Final answer
    x = 148,806,917.90

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.