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Finding the Third Proportional to 27,739,800 and 36,807,752

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Solution

The third proportional to 27,739,800 and 36,807,752 is: 48,839,955.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,739,800 : 36,807,752 = 36,807,752 : x
  2. Step 2: Convert to fraction form
    27,739,800/36,807,752 = 36,807,752/x
  3. Step 3: Cross multiply
    27,739,800x = 36,807,752 × 36,807,752
  4. Step 4: Simplify right side
    27,739,800x = 1,354,810,607,293,504
  5. Step 5: Solve for x
    x = 1,354,810,607,293,504/27,739,800
  6. Step 6: Final answer
    x = 48,839,955.85

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.