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Finding the Third Proportional to 3,096,071 and 6,568,306

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Solution

The third proportional to 3,096,071 and 6,568,306 is: 13,934,642.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096,071 : 6,568,306 = 6,568,306 : x
  2. Step 2: Convert to fraction form
    3,096,071/6,568,306 = 6,568,306/x
  3. Step 3: Cross multiply
    3,096,071x = 6,568,306 × 6,568,306
  4. Step 4: Simplify right side
    3,096,071x = 43,142,643,709,636
  5. Step 5: Solve for x
    x = 43,142,643,709,636/3,096,071
  6. Step 6: Final answer
    x = 13,934,642.88

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.