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Finding the Third Proportional to 30,827,125.50 and 48,005,193

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Solution

The third proportional to 30,827,125.50 and 48,005,193 is: 74,755,544.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,827,125.50 : 48,005,193 = 48,005,193 : x
  2. Step 2: Convert to fraction form
    30,827,125.50/48,005,193 = 48,005,193/x
  3. Step 3: Cross multiply
    30,827,125.50x = 48,005,193 × 48,005,193
  4. Step 4: Simplify right side
    30,827,125.50x = 2,304,498,554,967,249
  5. Step 5: Solve for x
    x = 2,304,498,554,967,249/30,827,125.50
  6. Step 6: Final answer
    x = 74,755,544.59

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.