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Finding the Third Proportional to 2,994,416.25 and 6,493,293.75

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Solution

The third proportional to 2,994,416.25 and 6,493,293.75 is: 14,080,495.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,994,416.25 : 6,493,293.75 = 6,493,293.75 : x
  2. Step 2: Convert to fraction form
    2,994,416.25/6,493,293.75 = 6,493,293.75/x
  3. Step 3: Cross multiply
    2,994,416.25x = 6,493,293.75 × 6,493,293.75
  4. Step 4: Simplify right side
    2,994,416.25x = 42,162,863,723,789.06
  5. Step 5: Solve for x
    x = 42,162,863,723,789.06/2,994,416.25
  6. Step 6: Final answer
    x = 14,080,495.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.