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Finding the Third Proportional to 6,419,621.25 and 8,743,514.63

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Solution

The third proportional to 6,419,621.25 and 8,743,514.63 is: 11,908,653.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,419,621.25 : 8,743,514.63 = 8,743,514.63 : x
  2. Step 2: Convert to fraction form
    6,419,621.25/8,743,514.63 = 8,743,514.63/x
  3. Step 3: Cross multiply
    6,419,621.25x = 8,743,514.63 × 8,743,514.63
  4. Step 4: Simplify right side
    6,419,621.25x = 76,449,047,997,588.89
  5. Step 5: Solve for x
    x = 76,449,047,997,588.89/6,419,621.25
  6. Step 6: Final answer
    x = 11,908,653.96

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.