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Finding the Third Proportional to 3,825,028 and 8,323,040

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Solution

The third proportional to 3,825,028 and 8,323,040 is: 18,110,454.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,825,028 : 8,323,040 = 8,323,040 : x
  2. Step 2: Convert to fraction form
    3,825,028/8,323,040 = 8,323,040/x
  3. Step 3: Cross multiply
    3,825,028x = 8,323,040 × 8,323,040
  4. Step 4: Simplify right side
    3,825,028x = 69,272,994,841,600
  5. Step 5: Solve for x
    x = 69,272,994,841,600/3,825,028
  6. Step 6: Final answer
    x = 18,110,454.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.