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Finding the Third Proportional to 8,122,944 and 17,840,008

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Solution

The third proportional to 8,122,944 and 17,840,008 is: 39,181,100.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,122,944 : 17,840,008 = 17,840,008 : x
  2. Step 2: Convert to fraction form
    8,122,944/17,840,008 = 17,840,008/x
  3. Step 3: Cross multiply
    8,122,944x = 17,840,008 × 17,840,008
  4. Step 4: Simplify right side
    8,122,944x = 318,265,885,440,064
  5. Step 5: Solve for x
    x = 318,265,885,440,064/8,122,944
  6. Step 6: Final answer
    x = 39,181,100.53

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.