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Finding the Third Proportional to 3,189,466 and 6,821,516

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Solution

The third proportional to 3,189,466 and 6,821,516 is: 14,589,614.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,189,466 : 6,821,516 = 6,821,516 : x
  2. Step 2: Convert to fraction form
    3,189,466/6,821,516 = 6,821,516/x
  3. Step 3: Cross multiply
    3,189,466x = 6,821,516 × 6,821,516
  4. Step 4: Simplify right side
    3,189,466x = 46,533,080,538,256
  5. Step 5: Solve for x
    x = 46,533,080,538,256/3,189,466
  6. Step 6: Final answer
    x = 14,589,614.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.