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Finding the Third Proportional to 5,862,314 and 12,917,296

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Solution

The third proportional to 5,862,314 and 12,917,296 is: 28,462,572.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,862,314 : 12,917,296 = 12,917,296 : x
  2. Step 2: Convert to fraction form
    5,862,314/12,917,296 = 12,917,296/x
  3. Step 3: Cross multiply
    5,862,314x = 12,917,296 × 12,917,296
  4. Step 4: Simplify right side
    5,862,314x = 166,856,535,951,616
  5. Step 5: Solve for x
    x = 166,856,535,951,616/5,862,314
  6. Step 6: Final answer
    x = 28,462,572.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.