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Finding the Third Proportional to 3,086,705.25 and 6,647,500.13

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Solution

The third proportional to 3,086,705.25 and 6,647,500.13 is: 14,315,995.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,086,705.25 : 6,647,500.13 = 6,647,500.13 : x
  2. Step 2: Convert to fraction form
    3,086,705.25/6,647,500.13 = 6,647,500.13/x
  3. Step 3: Cross multiply
    3,086,705.25x = 6,647,500.13 × 6,647,500.13
  4. Step 4: Simplify right side
    3,086,705.25x = 44,189,257,911,875.02
  5. Step 5: Solve for x
    x = 44,189,257,911,875.02/3,086,705.25
  6. Step 6: Final answer
    x = 14,315,995.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.