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Finding the Third Proportional to 5,714,114.25 and 12,203,178

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Solution

The third proportional to 5,714,114.25 and 12,203,178 is: 26,061,353.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714,114.25 : 12,203,178 = 12,203,178 : x
  2. Step 2: Convert to fraction form
    5,714,114.25/12,203,178 = 12,203,178/x
  3. Step 3: Cross multiply
    5,714,114.25x = 12,203,178 × 12,203,178
  4. Step 4: Simplify right side
    5,714,114.25x = 148,917,553,299,684
  5. Step 5: Solve for x
    x = 148,917,553,299,684/5,714,114.25
  6. Step 6: Final answer
    x = 26,061,353.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.