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Finding the Third Proportional to 5,894,230 and 12,684,827

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Solution

The third proportional to 5,894,230 and 12,684,827 is: 27,298,703.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,894,230 : 12,684,827 = 12,684,827 : x
  2. Step 2: Convert to fraction form
    5,894,230/12,684,827 = 12,684,827/x
  3. Step 3: Cross multiply
    5,894,230x = 12,684,827 × 12,684,827
  4. Step 4: Simplify right side
    5,894,230x = 160,904,836,019,929
  5. Step 5: Solve for x
    x = 160,904,836,019,929/5,894,230
  6. Step 6: Final answer
    x = 27,298,703.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.