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Finding the Third Proportional to 3,262,042 and 6,821,516

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Solution

The third proportional to 3,262,042 and 6,821,516 is: 14,265,015.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,262,042 : 6,821,516 = 6,821,516 : x
  2. Step 2: Convert to fraction form
    3,262,042/6,821,516 = 6,821,516/x
  3. Step 3: Cross multiply
    3,262,042x = 6,821,516 × 6,821,516
  4. Step 4: Simplify right side
    3,262,042x = 46,533,080,538,256
  5. Step 5: Solve for x
    x = 46,533,080,538,256/3,262,042
  6. Step 6: Final answer
    x = 14,265,015.76

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.