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Finding the Third Proportional to 7,813,571 and 16,225,990

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Solution

The third proportional to 7,813,571 and 16,225,990 is: 33,695,572.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,813,571 : 16,225,990 = 16,225,990 : x
  2. Step 2: Convert to fraction form
    7,813,571/16,225,990 = 16,225,990/x
  3. Step 3: Cross multiply
    7,813,571x = 16,225,990 × 16,225,990
  4. Step 4: Simplify right side
    7,813,571x = 263,282,751,480,100
  5. Step 5: Solve for x
    x = 263,282,751,480,100/7,813,571
  6. Step 6: Final answer
    x = 33,695,572.93

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.