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Finding the Third Proportional to 4,509,047.25 and 6,802,116.75

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Solution

The third proportional to 4,509,047.25 and 6,802,116.75 is: 10,261,323.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,509,047.25 : 6,802,116.75 = 6,802,116.75 : x
  2. Step 2: Convert to fraction form
    4,509,047.25/6,802,116.75 = 6,802,116.75/x
  3. Step 3: Cross multiply
    4,509,047.25x = 6,802,116.75 × 6,802,116.75
  4. Step 4: Simplify right side
    4,509,047.25x = 46,268,792,280,630.56
  5. Step 5: Solve for x
    x = 46,268,792,280,630.56/4,509,047.25
  6. Step 6: Final answer
    x = 10,261,323.45

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.