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Finding the Third Proportional to 27,199,408.50 and 37,698,493.50

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Solution

The third proportional to 27,199,408.50 and 37,698,493.50 is: 52,250,269.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,199,408.50 : 37,698,493.50 = 37,698,493.50 : x
  2. Step 2: Convert to fraction form
    27,199,408.50/37,698,493.50 = 37,698,493.50/x
  3. Step 3: Cross multiply
    27,199,408.50x = 37,698,493.50 × 37,698,493.50
  4. Step 4: Simplify right side
    27,199,408.50x = 1,421,176,412,169,542.25
  5. Step 5: Solve for x
    x = 1,421,176,412,169,542.25/27,199,408.50
  6. Step 6: Final answer
    x = 52,250,269.05

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.