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Finding the Third Proportional to 10,843,719 and 14,456,676

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Solution

The third proportional to 10,843,719 and 14,456,676 is: 19,273,413.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,843,719 : 14,456,676 = 14,456,676 : x
  2. Step 2: Convert to fraction form
    10,843,719/14,456,676 = 14,456,676/x
  3. Step 3: Cross multiply
    10,843,719x = 14,456,676 × 14,456,676
  4. Step 4: Simplify right side
    10,843,719x = 208,995,480,968,976
  5. Step 5: Solve for x
    x = 208,995,480,968,976/10,843,719
  6. Step 6: Final answer
    x = 19,273,413.57

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.