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Finding the Third Proportional to 9,034,413.75 and 13,763,358

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Solution

The third proportional to 9,034,413.75 and 13,763,358 is: 20,967,605.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,034,413.75 : 13,763,358 = 13,763,358 : x
  2. Step 2: Convert to fraction form
    9,034,413.75/13,763,358 = 13,763,358/x
  3. Step 3: Cross multiply
    9,034,413.75x = 13,763,358 × 13,763,358
  4. Step 4: Simplify right side
    9,034,413.75x = 189,430,023,436,164
  5. Step 5: Solve for x
    x = 189,430,023,436,164/9,034,413.75
  6. Step 6: Final answer
    x = 20,967,605.50

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.