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Finding the Third Proportional to 3,090,649 and 6,268,641

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Solution

The third proportional to 3,090,649 and 6,268,641 is: 12,714,436.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,090,649 : 6,268,641 = 6,268,641 : x
  2. Step 2: Convert to fraction form
    3,090,649/6,268,641 = 6,268,641/x
  3. Step 3: Cross multiply
    3,090,649x = 6,268,641 × 6,268,641
  4. Step 4: Simplify right side
    3,090,649x = 39,295,859,986,881
  5. Step 5: Solve for x
    x = 39,295,859,986,881/3,090,649
  6. Step 6: Final answer
    x = 12,714,436.35

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.