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Finding the Third Proportional to 6,476,208 and 9,661,824

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Solution

The third proportional to 6,476,208 and 9,661,824 is: 14,414,429.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,476,208 : 9,661,824 = 9,661,824 : x
  2. Step 2: Convert to fraction form
    6,476,208/9,661,824 = 9,661,824/x
  3. Step 3: Cross multiply
    6,476,208x = 9,661,824 × 9,661,824
  4. Step 4: Simplify right side
    6,476,208x = 93,350,843,006,976
  5. Step 5: Solve for x
    x = 93,350,843,006,976/6,476,208
  6. Step 6: Final answer
    x = 14,414,429.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.