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Finding the Third Proportional to 6,334,659 and 13,830,885

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Solution

The third proportional to 6,334,659 and 13,830,885 is: 30,197,896.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,334,659 : 13,830,885 = 13,830,885 : x
  2. Step 2: Convert to fraction form
    6,334,659/13,830,885 = 13,830,885/x
  3. Step 3: Cross multiply
    6,334,659x = 13,830,885 × 13,830,885
  4. Step 4: Simplify right side
    6,334,659x = 191,293,379,883,225
  5. Step 5: Solve for x
    x = 191,293,379,883,225/6,334,659
  6. Step 6: Final answer
    x = 30,197,896.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.