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Finding the Third Proportional to 6,098,309 and 8,361,937

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Solution

The third proportional to 6,098,309 and 8,361,937 is: 11,465,799.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098,309 : 8,361,937 = 8,361,937 : x
  2. Step 2: Convert to fraction form
    6,098,309/8,361,937 = 8,361,937/x
  3. Step 3: Cross multiply
    6,098,309x = 8,361,937 × 8,361,937
  4. Step 4: Simplify right side
    6,098,309x = 69,921,990,391,969
  5. Step 5: Solve for x
    x = 69,921,990,391,969/6,098,309
  6. Step 6: Final answer
    x = 11,465,799.85

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.