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Finding the Third Proportional to 5,671,198 and 8,611,644

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Solution

The third proportional to 5,671,198 and 8,611,644 is: 13,076,674.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,671,198 : 8,611,644 = 8,611,644 : x
  2. Step 2: Convert to fraction form
    5,671,198/8,611,644 = 8,611,644/x
  3. Step 3: Cross multiply
    5,671,198x = 8,611,644 × 8,611,644
  4. Step 4: Simplify right side
    5,671,198x = 74,160,412,382,736
  5. Step 5: Solve for x
    x = 74,160,412,382,736/5,671,198
  6. Step 6: Final answer
    x = 13,076,674.87

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.