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Finding the Third Proportional to 6,729,966 and 14,805,665

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Solution

The third proportional to 6,729,966 and 14,805,665 is: 32,571,890.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,729,966 : 14,805,665 = 14,805,665 : x
  2. Step 2: Convert to fraction form
    6,729,966/14,805,665 = 14,805,665/x
  3. Step 3: Cross multiply
    6,729,966x = 14,805,665 × 14,805,665
  4. Step 4: Simplify right side
    6,729,966x = 219,207,716,092,225
  5. Step 5: Solve for x
    x = 219,207,716,092,225/6,729,966
  6. Step 6: Final answer
    x = 32,571,890.57

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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.