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Finding the Third Proportional to 5,786,214 and 12,601,074

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Solution

The third proportional to 5,786,214 and 12,601,074 is: 27,442,307.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,786,214 : 12,601,074 = 12,601,074 : x
  2. Step 2: Convert to fraction form
    5,786,214/12,601,074 = 12,601,074/x
  3. Step 3: Cross multiply
    5,786,214x = 12,601,074 × 12,601,074
  4. Step 4: Simplify right side
    5,786,214x = 158,787,065,953,476
  5. Step 5: Solve for x
    x = 158,787,065,953,476/5,786,214
  6. Step 6: Final answer
    x = 27,442,307.86

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