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Finding the Third Proportional to 6,112,647 and 8,272,165.50

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Solution

The third proportional to 6,112,647 and 8,272,165.50 is: 11,194,613.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,112,647 : 8,272,165.50 = 8,272,165.50 : x
  2. Step 2: Convert to fraction form
    6,112,647/8,272,165.50 = 8,272,165.50/x
  3. Step 3: Cross multiply
    6,112,647x = 8,272,165.50 × 8,272,165.50
  4. Step 4: Simplify right side
    6,112,647x = 68,428,722,059,390.25
  5. Step 5: Solve for x
    x = 68,428,722,059,390.25/6,112,647
  6. Step 6: Final answer
    x = 11,194,613.73

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.