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Finding the Third Proportional to 4,622,039.72 and 7,185,360.02

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Solution

The third proportional to 4,622,039.72 and 7,185,360.02 is: 11,170,262.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,622,039.72 : 7,185,360.02 = 7,185,360.02 : x
  2. Step 2: Convert to fraction form
    4,622,039.72/7,185,360.02 = 7,185,360.02/x
  3. Step 3: Cross multiply
    4,622,039.72x = 7,185,360.02 × 7,185,360.02
  4. Step 4: Simplify right side
    4,622,039.72x = 51,629,398,666,413.75
  5. Step 5: Solve for x
    x = 51,629,398,666,413.75/4,622,039.72
  6. Step 6: Final answer
    x = 11,170,262.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.