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Finding the Third Proportional to 5,537,427.75 and 8,382,647.25

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Solution

The third proportional to 5,537,427.75 and 8,382,647.25 is: 12,689,786.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,537,427.75 : 8,382,647.25 = 8,382,647.25 : x
  2. Step 2: Convert to fraction form
    5,537,427.75/8,382,647.25 = 8,382,647.25/x
  3. Step 3: Cross multiply
    5,537,427.75x = 8,382,647.25 × 8,382,647.25
  4. Step 4: Simplify right side
    5,537,427.75x = 70,268,774,917,932.56
  5. Step 5: Solve for x
    x = 70,268,774,917,932.56/5,537,427.75
  6. Step 6: Final answer
    x = 12,689,786.32

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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.