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Finding the Third Proportional to 3,188,328 and 6,897,648

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Solution

The third proportional to 3,188,328 and 6,897,648 is: 14,922,413.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188,328 : 6,897,648 = 6,897,648 : x
  2. Step 2: Convert to fraction form
    3,188,328/6,897,648 = 6,897,648/x
  3. Step 3: Cross multiply
    3,188,328x = 6,897,648 × 6,897,648
  4. Step 4: Simplify right side
    3,188,328x = 47,577,547,931,904
  5. Step 5: Solve for x
    x = 47,577,547,931,904/3,188,328
  6. Step 6: Final answer
    x = 14,922,413.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.