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Finding the Third Proportional to 6,625,584.84 and 14,015,078.16

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Solution

The third proportional to 6,625,584.84 and 14,015,078.16 is: 29,646,049.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,625,584.84 : 14,015,078.16 = 14,015,078.16 : x
  2. Step 2: Convert to fraction form
    6,625,584.84/14,015,078.16 = 14,015,078.16/x
  3. Step 3: Cross multiply
    6,625,584.84x = 14,015,078.16 × 14,015,078.16
  4. Step 4: Simplify right side
    6,625,584.84x = 196,422,415,725,795.91
  5. Step 5: Solve for x
    x = 196,422,415,725,795.91/6,625,584.84
  6. Step 6: Final answer
    x = 29,646,049.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.