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Finding the Third Proportional to 4,568,866.50 and 6,854,211

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Solution

The third proportional to 4,568,866.50 and 6,854,211 is: 10,282,683.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,568,866.50 : 6,854,211 = 6,854,211 : x
  2. Step 2: Convert to fraction form
    4,568,866.50/6,854,211 = 6,854,211/x
  3. Step 3: Cross multiply
    4,568,866.50x = 6,854,211 × 6,854,211
  4. Step 4: Simplify right side
    4,568,866.50x = 46,980,208,432,521
  5. Step 5: Solve for x
    x = 46,980,208,432,521/4,568,866.50
  6. Step 6: Final answer
    x = 10,282,683.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.