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Finding the Third Proportional to 3,643,625.25 and 5,445,356.63

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Solution

The third proportional to 3,643,625.25 and 5,445,356.63 is: 8,138,023.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643,625.25 : 5,445,356.63 = 5,445,356.63 : x
  2. Step 2: Convert to fraction form
    3,643,625.25/5,445,356.63 = 5,445,356.63/x
  3. Step 3: Cross multiply
    3,643,625.25x = 5,445,356.63 × 5,445,356.63
  4. Step 4: Simplify right side
    3,643,625.25x = 29,651,908,773,431.39
  5. Step 5: Solve for x
    x = 29,651,908,773,431.39/3,643,625.25
  6. Step 6: Final answer
    x = 8,138,023.74

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.