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Finding the Third Proportional to 3,879,278 and 8,430,039

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Solution

The third proportional to 3,879,278 and 8,430,039 is: 18,319,274.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,879,278 : 8,430,039 = 8,430,039 : x
  2. Step 2: Convert to fraction form
    3,879,278/8,430,039 = 8,430,039/x
  3. Step 3: Cross multiply
    3,879,278x = 8,430,039 × 8,430,039
  4. Step 4: Simplify right side
    3,879,278x = 71,065,557,541,521
  5. Step 5: Solve for x
    x = 71,065,557,541,521/3,879,278
  6. Step 6: Final answer
    x = 18,319,274.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.