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Finding the Third Proportional to 5,685,939 and 13,422,573

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Solution

The third proportional to 5,685,939 and 13,422,573 is: 31,686,141.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,685,939 : 13,422,573 = 13,422,573 : x
  2. Step 2: Convert to fraction form
    5,685,939/13,422,573 = 13,422,573/x
  3. Step 3: Cross multiply
    5,685,939x = 13,422,573 × 13,422,573
  4. Step 4: Simplify right side
    5,685,939x = 180,165,465,940,329
  5. Step 5: Solve for x
    x = 180,165,465,940,329/5,685,939
  6. Step 6: Final answer
    x = 31,686,141.19

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.