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Finding the Third Proportional to 4,816,296 and 6,560,016

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Solution

The third proportional to 4,816,296 and 6,560,016 is: 8,935,042.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,816,296 : 6,560,016 = 6,560,016 : x
  2. Step 2: Convert to fraction form
    4,816,296/6,560,016 = 6,560,016/x
  3. Step 3: Cross multiply
    4,816,296x = 6,560,016 × 6,560,016
  4. Step 4: Simplify right side
    4,816,296x = 43,033,809,920,256
  5. Step 5: Solve for x
    x = 43,033,809,920,256/4,816,296
  6. Step 6: Final answer
    x = 8,935,042.60

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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.