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Finding the Third Proportional to 6,511,797 and 14,180,760

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Solution

The third proportional to 6,511,797 and 14,180,760 is: 30,881,483.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,511,797 : 14,180,760 = 14,180,760 : x
  2. Step 2: Convert to fraction form
    6,511,797/14,180,760 = 14,180,760/x
  3. Step 3: Cross multiply
    6,511,797x = 14,180,760 × 14,180,760
  4. Step 4: Simplify right side
    6,511,797x = 201,093,954,177,600
  5. Step 5: Solve for x
    x = 201,093,954,177,600/6,511,797
  6. Step 6: Final answer
    x = 30,881,483.89

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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.