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Finding the Third Proportional to 3,818,188 and 8,233,840

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Solution

The third proportional to 3,818,188 and 8,233,840 is: 17,756,098.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,818,188 : 8,233,840 = 8,233,840 : x
  2. Step 2: Convert to fraction form
    3,818,188/8,233,840 = 8,233,840/x
  3. Step 3: Cross multiply
    3,818,188x = 8,233,840 × 8,233,840
  4. Step 4: Simplify right side
    3,818,188x = 67,796,121,145,600
  5. Step 5: Solve for x
    x = 67,796,121,145,600/3,818,188
  6. Step 6: Final answer
    x = 17,756,098.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.