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Finding the Third Proportional to 3,879,320 and 8,430,128

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Solution

The third proportional to 3,879,320 and 8,430,128 is: 18,319,462.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,879,320 : 8,430,128 = 8,430,128 : x
  2. Step 2: Convert to fraction form
    3,879,320/8,430,128 = 8,430,128/x
  3. Step 3: Cross multiply
    3,879,320x = 8,430,128 × 8,430,128
  4. Step 4: Simplify right side
    3,879,320x = 71,067,058,096,384
  5. Step 5: Solve for x
    x = 71,067,058,096,384/3,879,320
  6. Step 6: Final answer
    x = 18,319,462.71

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