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Finding the Third Proportional to 8,021,012 and 16,702,984

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Solution

The third proportional to 8,021,012 and 16,702,984 is: 34,782,353.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,021,012 : 16,702,984 = 16,702,984 : x
  2. Step 2: Convert to fraction form
    8,021,012/16,702,984 = 16,702,984/x
  3. Step 3: Cross multiply
    8,021,012x = 16,702,984 × 16,702,984
  4. Step 4: Simplify right side
    8,021,012x = 278,989,674,504,256
  5. Step 5: Solve for x
    x = 278,989,674,504,256/8,021,012
  6. Step 6: Final answer
    x = 34,782,353.46

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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.