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Finding the Third Proportional to 5,930,863 and 12,949,393

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Solution

The third proportional to 5,930,863 and 12,949,393 is: 28,273,588.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,930,863 : 12,949,393 = 12,949,393 : x
  2. Step 2: Convert to fraction form
    5,930,863/12,949,393 = 12,949,393/x
  3. Step 3: Cross multiply
    5,930,863x = 12,949,393 × 12,949,393
  4. Step 4: Simplify right side
    5,930,863x = 167,686,779,068,449
  5. Step 5: Solve for x
    x = 167,686,779,068,449/5,930,863
  6. Step 6: Final answer
    x = 28,273,588.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.