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Finding the Third Proportional to 4,093,929.75 and 6,421,379.25

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Solution

The third proportional to 4,093,929.75 and 6,421,379.25 is: 10,072,012.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,093,929.75 : 6,421,379.25 = 6,421,379.25 : x
  2. Step 2: Convert to fraction form
    4,093,929.75/6,421,379.25 = 6,421,379.25/x
  3. Step 3: Cross multiply
    4,093,929.75x = 6,421,379.25 × 6,421,379.25
  4. Step 4: Simplify right side
    4,093,929.75x = 41,234,111,472,330.56
  5. Step 5: Solve for x
    x = 41,234,111,472,330.56/4,093,929.75
  6. Step 6: Final answer
    x = 10,072,012.46

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.