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Finding the Third Proportional to 3,726,226 and 7,983,648

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Solution

The third proportional to 3,726,226 and 7,983,648 is: 17,105,413.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,726,226 : 7,983,648 = 7,983,648 : x
  2. Step 2: Convert to fraction form
    3,726,226/7,983,648 = 7,983,648/x
  3. Step 3: Cross multiply
    3,726,226x = 7,983,648 × 7,983,648
  4. Step 4: Simplify right side
    3,726,226x = 63,738,635,387,904
  5. Step 5: Solve for x
    x = 63,738,635,387,904/3,726,226
  6. Step 6: Final answer
    x = 17,105,413.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.