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Finding the Third Proportional to 6,182,114 and 8,148,819

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Solution

The third proportional to 6,182,114 and 8,148,819 is: 10,741,188.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,182,114 : 8,148,819 = 8,148,819 : x
  2. Step 2: Convert to fraction form
    6,182,114/8,148,819 = 8,148,819/x
  3. Step 3: Cross multiply
    6,182,114x = 8,148,819 × 8,148,819
  4. Step 4: Simplify right side
    6,182,114x = 66,403,251,094,761
  5. Step 5: Solve for x
    x = 66,403,251,094,761/6,182,114
  6. Step 6: Final answer
    x = 10,741,188.39

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.