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Finding the Third Proportional to 3,038,481 and 4,811,413.50

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Solution

The third proportional to 3,038,481 and 4,811,413.50 is: 7,618,839.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,038,481 : 4,811,413.50 = 4,811,413.50 : x
  2. Step 2: Convert to fraction form
    3,038,481/4,811,413.50 = 4,811,413.50/x
  3. Step 3: Cross multiply
    3,038,481x = 4,811,413.50 × 4,811,413.50
  4. Step 4: Simplify right side
    3,038,481x = 23,149,699,867,982.25
  5. Step 5: Solve for x
    x = 23,149,699,867,982.25/3,038,481
  6. Step 6: Final answer
    x = 7,618,839.76

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.