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Finding the Third Proportional to 13,943,734 and 30,202,960

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Solution

The third proportional to 13,943,734 and 30,202,960 is: 65,421,413.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,943,734 : 30,202,960 = 30,202,960 : x
  2. Step 2: Convert to fraction form
    13,943,734/30,202,960 = 30,202,960/x
  3. Step 3: Cross multiply
    13,943,734x = 30,202,960 × 30,202,960
  4. Step 4: Simplify right side
    13,943,734x = 912,218,792,761,600
  5. Step 5: Solve for x
    x = 912,218,792,761,600/13,943,734
  6. Step 6: Final answer
    x = 65,421,413.86

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Why These Related Problems?

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