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Finding the Third Proportional to 5,169,376 and 11,278,760

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Solution

The third proportional to 5,169,376 and 11,278,760 is: 24,608,468.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,169,376 : 11,278,760 = 11,278,760 : x
  2. Step 2: Convert to fraction form
    5,169,376/11,278,760 = 11,278,760/x
  3. Step 3: Cross multiply
    5,169,376x = 11,278,760 × 11,278,760
  4. Step 4: Simplify right side
    5,169,376x = 127,210,427,137,600
  5. Step 5: Solve for x
    x = 127,210,427,137,600/5,169,376
  6. Step 6: Final answer
    x = 24,608,468.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.