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Finding the Third Proportional to 3,149,256 and 6,431,382

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Solution

The third proportional to 3,149,256 and 6,431,382 is: 13,134,109.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,149,256 : 6,431,382 = 6,431,382 : x
  2. Step 2: Convert to fraction form
    3,149,256/6,431,382 = 6,431,382/x
  3. Step 3: Cross multiply
    3,149,256x = 6,431,382 × 6,431,382
  4. Step 4: Simplify right side
    3,149,256x = 41,362,674,429,924
  5. Step 5: Solve for x
    x = 41,362,674,429,924/3,149,256
  6. Step 6: Final answer
    x = 13,134,109.91

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.