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Finding the Third Proportional to 8,021,025 and 16,703,010

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Solution

The third proportional to 8,021,025 and 16,703,010 is: 34,782,405.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,021,025 : 16,703,010 = 16,703,010 : x
  2. Step 2: Convert to fraction form
    8,021,025/16,703,010 = 16,703,010/x
  3. Step 3: Cross multiply
    8,021,025x = 16,703,010 × 16,703,010
  4. Step 4: Simplify right side
    8,021,025x = 278,990,543,060,100
  5. Step 5: Solve for x
    x = 278,990,543,060,100/8,021,025
  6. Step 6: Final answer
    x = 34,782,405.37

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.