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Finding the Third Proportional to 19,823,257 and 27,915,936

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Solution

The third proportional to 19,823,257 and 27,915,936 is: 39,312,383.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,823,257 : 27,915,936 = 27,915,936 : x
  2. Step 2: Convert to fraction form
    19,823,257/27,915,936 = 27,915,936/x
  3. Step 3: Cross multiply
    19,823,257x = 27,915,936 × 27,915,936
  4. Step 4: Simplify right side
    19,823,257x = 779,299,482,756,096
  5. Step 5: Solve for x
    x = 779,299,482,756,096/19,823,257
  6. Step 6: Final answer
    x = 39,312,383.57

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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.