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Finding the Third Proportional to 3,743,922 and 5,350,162.50

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Solution

The third proportional to 3,743,922 and 5,350,162.50 is: 7,645,522.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,743,922 : 5,350,162.50 = 5,350,162.50 : x
  2. Step 2: Convert to fraction form
    3,743,922/5,350,162.50 = 5,350,162.50/x
  3. Step 3: Cross multiply
    3,743,922x = 5,350,162.50 × 5,350,162.50
  4. Step 4: Simplify right side
    3,743,922x = 28,624,238,776,406.25
  5. Step 5: Solve for x
    x = 28,624,238,776,406.25/3,743,922
  6. Step 6: Final answer
    x = 7,645,522.20

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.