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Finding the Third Proportional to 3,003,635.25 and 6,220,185.75

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Solution

The third proportional to 3,003,635.25 and 6,220,185.75 is: 12,881,294.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,003,635.25 : 6,220,185.75 = 6,220,185.75 : x
  2. Step 2: Convert to fraction form
    3,003,635.25/6,220,185.75 = 6,220,185.75/x
  3. Step 3: Cross multiply
    3,003,635.25x = 6,220,185.75 × 6,220,185.75
  4. Step 4: Simplify right side
    3,003,635.25x = 38,690,710,764,503.06
  5. Step 5: Solve for x
    x = 38,690,710,764,503.06/3,003,635.25
  6. Step 6: Final answer
    x = 12,881,294.68

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.