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Finding the Third Proportional to 3,848,298.19 and 8,366,414.06

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Solution

The third proportional to 3,848,298.19 and 8,366,414.06 is: 18,189,048.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,848,298.19 : 8,366,414.06 = 8,366,414.06 : x
  2. Step 2: Convert to fraction form
    3,848,298.19/8,366,414.06 = 8,366,414.06/x
  3. Step 3: Cross multiply
    3,848,298.19x = 8,366,414.06 × 8,366,414.06
  4. Step 4: Simplify right side
    3,848,298.19x = 69,996,884,265,197.75
  5. Step 5: Solve for x
    x = 69,996,884,265,197.75/3,848,298.19
  6. Step 6: Final answer
    x = 18,189,048.99

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.