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Finding the Third Proportional to 3,308,049.75 and 7,017,596.25

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Solution

The third proportional to 3,308,049.75 and 7,017,596.25 is: 14,886,915.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,308,049.75 : 7,017,596.25 = 7,017,596.25 : x
  2. Step 2: Convert to fraction form
    3,308,049.75/7,017,596.25 = 7,017,596.25/x
  3. Step 3: Cross multiply
    3,308,049.75x = 7,017,596.25 × 7,017,596.25
  4. Step 4: Simplify right side
    3,308,049.75x = 49,246,657,128,014.06
  5. Step 5: Solve for x
    x = 49,246,657,128,014.06/3,308,049.75
  6. Step 6: Final answer
    x = 14,886,915.51

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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.