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Finding the Third Proportional to 3,191,859 and 6,826,086

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Solution

The third proportional to 3,191,859 and 6,826,086 is: 14,598,216.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,191,859 : 6,826,086 = 6,826,086 : x
  2. Step 2: Convert to fraction form
    3,191,859/6,826,086 = 6,826,086/x
  3. Step 3: Cross multiply
    3,191,859x = 6,826,086 × 6,826,086
  4. Step 4: Simplify right side
    3,191,859x = 46,595,450,079,396
  5. Step 5: Solve for x
    x = 46,595,450,079,396/3,191,859
  6. Step 6: Final answer
    x = 14,598,216.93

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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.