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Finding the Third Proportional to 5,684,961 and 8,747,015

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Solution

The third proportional to 5,684,961 and 8,747,015 is: 13,458,363.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684,961 : 8,747,015 = 8,747,015 : x
  2. Step 2: Convert to fraction form
    5,684,961/8,747,015 = 8,747,015/x
  3. Step 3: Cross multiply
    5,684,961x = 8,747,015 × 8,747,015
  4. Step 4: Simplify right side
    5,684,961x = 76,510,271,410,225
  5. Step 5: Solve for x
    x = 76,510,271,410,225/5,684,961
  6. Step 6: Final answer
    x = 13,458,363.46

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.