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Finding the Third Proportional to 5,893,500 and 8,318,646

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Solution

The third proportional to 5,893,500 and 8,318,646 is: 11,741,727.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,893,500 : 8,318,646 = 8,318,646 : x
  2. Step 2: Convert to fraction form
    5,893,500/8,318,646 = 8,318,646/x
  3. Step 3: Cross multiply
    5,893,500x = 8,318,646 × 8,318,646
  4. Step 4: Simplify right side
    5,893,500x = 69,199,871,273,316
  5. Step 5: Solve for x
    x = 69,199,871,273,316/5,893,500
  6. Step 6: Final answer
    x = 11,741,727.54

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.