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Finding the Third Proportional to 27,877,099.50 and 39,187,102.50

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Solution

The third proportional to 27,877,099.50 and 39,187,102.50 is: 55,085,680.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,877,099.50 : 39,187,102.50 = 39,187,102.50 : x
  2. Step 2: Convert to fraction form
    27,877,099.50/39,187,102.50 = 39,187,102.50/x
  3. Step 3: Cross multiply
    27,877,099.50x = 39,187,102.50 × 39,187,102.50
  4. Step 4: Simplify right side
    27,877,099.50x = 1,535,629,002,345,506.25
  5. Step 5: Solve for x
    x = 1,535,629,002,345,506.25/27,877,099.50
  6. Step 6: Final answer
    x = 55,085,680.72

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.