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Finding the Third Proportional to 4,263,706.69 and 6,560,239.78

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Solution

The third proportional to 4,263,706.69 and 6,560,239.78 is: 10,093,739.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,263,706.69 : 6,560,239.78 = 6,560,239.78 : x
  2. Step 2: Convert to fraction form
    4,263,706.69/6,560,239.78 = 6,560,239.78/x
  3. Step 3: Cross multiply
    4,263,706.69x = 6,560,239.78 × 6,560,239.78
  4. Step 4: Simplify right side
    4,263,706.69x = 43,036,745,987,495.05
  5. Step 5: Solve for x
    x = 43,036,745,987,495.05/4,263,706.69
  6. Step 6: Final answer
    x = 10,093,739.82

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.