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Finding the Third Proportional to 4,407,866.75 and 6,811,271

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Solution

The third proportional to 4,407,866.75 and 6,811,271 is: 10,525,139.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,407,866.75 : 6,811,271 = 6,811,271 : x
  2. Step 2: Convert to fraction form
    4,407,866.75/6,811,271 = 6,811,271/x
  3. Step 3: Cross multiply
    4,407,866.75x = 6,811,271 × 6,811,271
  4. Step 4: Simplify right side
    4,407,866.75x = 46,393,412,635,441
  5. Step 5: Solve for x
    x = 46,393,412,635,441/4,407,866.75
  6. Step 6: Final answer
    x = 10,525,139.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.