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Finding the Third Proportional to 2,471,042 and 5,414,468

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Solution

The third proportional to 2,471,042 and 5,414,468 is: 11,864,008.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471,042 : 5,414,468 = 5,414,468 : x
  2. Step 2: Convert to fraction form
    2,471,042/5,414,468 = 5,414,468/x
  3. Step 3: Cross multiply
    2,471,042x = 5,414,468 × 5,414,468
  4. Step 4: Simplify right side
    2,471,042x = 29,316,463,723,024
  5. Step 5: Solve for x
    x = 29,316,463,723,024/2,471,042
  6. Step 6: Final answer
    x = 11,864,008.67

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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.