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Finding the Third Proportional to 27,823,934.50 and 37,094,368

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Solution

The third proportional to 27,823,934.50 and 37,094,368 is: 49,453,542.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,823,934.50 : 37,094,368 = 37,094,368 : x
  2. Step 2: Convert to fraction form
    27,823,934.50/37,094,368 = 37,094,368/x
  3. Step 3: Cross multiply
    27,823,934.50x = 37,094,368 × 37,094,368
  4. Step 4: Simplify right side
    27,823,934.50x = 1,375,992,137,319,424
  5. Step 5: Solve for x
    x = 1,375,992,137,319,424/27,823,934.50
  6. Step 6: Final answer
    x = 49,453,542.86

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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.