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Finding the Third Proportional to 2,471,868 and 5,415,023

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Solution

The third proportional to 2,471,868 and 5,415,023 is: 11,862,475.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471,868 : 5,415,023 = 5,415,023 : x
  2. Step 2: Convert to fraction form
    2,471,868/5,415,023 = 5,415,023/x
  3. Step 3: Cross multiply
    2,471,868x = 5,415,023 × 5,415,023
  4. Step 4: Simplify right side
    2,471,868x = 29,322,474,090,529
  5. Step 5: Solve for x
    x = 29,322,474,090,529/2,471,868
  6. Step 6: Final answer
    x = 11,862,475.70

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.