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Finding the Third Proportional to 43,170,020.72 and 66,422,413.55

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Solution

The third proportional to 43,170,020.72 and 66,422,413.55 is: 102,199,094.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,170,020.72 : 66,422,413.55 = 66,422,413.55 : x
  2. Step 2: Convert to fraction form
    43,170,020.72/66,422,413.55 = 66,422,413.55/x
  3. Step 3: Cross multiply
    43,170,020.72x = 66,422,413.55 × 66,422,413.55
  4. Step 4: Simplify right side
    43,170,020.72x = 4,411,937,021,392,083.50
  5. Step 5: Solve for x
    x = 4,411,937,021,392,083.50/43,170,020.72
  6. Step 6: Final answer
    x = 102,199,094.37

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.