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Finding the Third Proportional to 3,207,780 and 6,680,946

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Solution

The third proportional to 3,207,780 and 6,680,946 is: 13,914,619.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,207,780 : 6,680,946 = 6,680,946 : x
  2. Step 2: Convert to fraction form
    3,207,780/6,680,946 = 6,680,946/x
  3. Step 3: Cross multiply
    3,207,780x = 6,680,946 × 6,680,946
  4. Step 4: Simplify right side
    3,207,780x = 44,635,039,454,916
  5. Step 5: Solve for x
    x = 44,635,039,454,916/3,207,780
  6. Step 6: Final answer
    x = 13,914,619.91

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.