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Finding the Third Proportional to 319,944,825 and 477,824,413.50

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Solution

The third proportional to 319,944,825 and 477,824,413.50 is: 713,611,073.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,944,825 : 477,824,413.50 = 477,824,413.50 : x
  2. Step 2: Convert to fraction form
    319,944,825/477,824,413.50 = 477,824,413.50/x
  3. Step 3: Cross multiply
    319,944,825x = 477,824,413.50 × 477,824,413.50
  4. Step 4: Simplify right side
    319,944,825x = 228,316,170,136,618,976
  5. Step 5: Solve for x
    x = 228,316,170,136,618,976/319,944,825
  6. Step 6: Final answer
    x = 713,611,073.84

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.