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Finding the Third Proportional to 8,529,006 and 20,134,083

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Solution

The third proportional to 8,529,006 and 20,134,083 is: 47,529,723.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,529,006 : 20,134,083 = 20,134,083 : x
  2. Step 2: Convert to fraction form
    8,529,006/20,134,083 = 20,134,083/x
  3. Step 3: Cross multiply
    8,529,006x = 20,134,083 × 20,134,083
  4. Step 4: Simplify right side
    8,529,006x = 405,381,298,250,889
  5. Step 5: Solve for x
    x = 405,381,298,250,889/8,529,006
  6. Step 6: Final answer
    x = 47,529,723.66

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.