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Finding the Third Proportional to 6,147,215 and 9,876,926

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Solution

The third proportional to 6,147,215 and 9,876,926 is: 15,869,571.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,147,215 : 9,876,926 = 9,876,926 : x
  2. Step 2: Convert to fraction form
    6,147,215/9,876,926 = 9,876,926/x
  3. Step 3: Cross multiply
    6,147,215x = 9,876,926 × 9,876,926
  4. Step 4: Simplify right side
    6,147,215x = 97,553,667,209,476
  5. Step 5: Solve for x
    x = 97,553,667,209,476/6,147,215
  6. Step 6: Final answer
    x = 15,869,571.38

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.