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Finding the Third Proportional to 6,413,586 and 13,357,878

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Solution

The third proportional to 6,413,586 and 13,357,878 is: 27,821,082.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413,586 : 13,357,878 = 13,357,878 : x
  2. Step 2: Convert to fraction form
    6,413,586/13,357,878 = 13,357,878/x
  3. Step 3: Cross multiply
    6,413,586x = 13,357,878 × 13,357,878
  4. Step 4: Simplify right side
    6,413,586x = 178,432,904,662,884
  5. Step 5: Solve for x
    x = 178,432,904,662,884/6,413,586
  6. Step 6: Final answer
    x = 27,821,082.41

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.