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Finding the Third Proportional to 19,328,760 and 27,037,206

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Solution

The third proportional to 19,328,760 and 27,037,206 is: 37,819,834.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,328,760 : 27,037,206 = 27,037,206 : x
  2. Step 2: Convert to fraction form
    19,328,760/27,037,206 = 27,037,206/x
  3. Step 3: Cross multiply
    19,328,760x = 27,037,206 × 27,037,206
  4. Step 4: Simplify right side
    19,328,760x = 731,010,508,286,436
  5. Step 5: Solve for x
    x = 731,010,508,286,436/19,328,760
  6. Step 6: Final answer
    x = 37,819,834.71

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.