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Finding the Third Proportional to 6,065,739 and 12,984,405

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Solution

The third proportional to 6,065,739 and 12,984,405 is: 27,794,597.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,065,739 : 12,984,405 = 12,984,405 : x
  2. Step 2: Convert to fraction form
    6,065,739/12,984,405 = 12,984,405/x
  3. Step 3: Cross multiply
    6,065,739x = 12,984,405 × 12,984,405
  4. Step 4: Simplify right side
    6,065,739x = 168,594,773,204,025
  5. Step 5: Solve for x
    x = 168,594,773,204,025/6,065,739
  6. Step 6: Final answer
    x = 27,794,597.36

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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.