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Finding the Third Proportional to 3,220,528.50 and 6,945,473.25

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Solution

The third proportional to 3,220,528.50 and 6,945,473.25 is: 14,978,783.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,220,528.50 : 6,945,473.25 = 6,945,473.25 : x
  2. Step 2: Convert to fraction form
    3,220,528.50/6,945,473.25 = 6,945,473.25/x
  3. Step 3: Cross multiply
    3,220,528.50x = 6,945,473.25 × 6,945,473.25
  4. Step 4: Simplify right side
    3,220,528.50x = 48,239,598,666,465.56
  5. Step 5: Solve for x
    x = 48,239,598,666,465.56/3,220,528.50
  6. Step 6: Final answer
    x = 14,978,783.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.