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Finding the Third Proportional to 6,095,949 and 8,359,209.75

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Solution

The third proportional to 6,095,949 and 8,359,209.75 is: 11,462,757.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,095,949 : 8,359,209.75 = 8,359,209.75 : x
  2. Step 2: Convert to fraction form
    6,095,949/8,359,209.75 = 8,359,209.75/x
  3. Step 3: Cross multiply
    6,095,949x = 8,359,209.75 × 8,359,209.75
  4. Step 4: Simplify right side
    6,095,949x = 69,876,387,644,495.06
  5. Step 5: Solve for x
    x = 69,876,387,644,495.06/6,095,949
  6. Step 6: Final answer
    x = 11,462,757.91

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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.