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Finding the Third Proportional to 6,511,795 and 14,180,755

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Solution

The third proportional to 6,511,795 and 14,180,755 is: 30,881,471.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,511,795 : 14,180,755 = 14,180,755 : x
  2. Step 2: Convert to fraction form
    6,511,795/14,180,755 = 14,180,755/x
  3. Step 3: Cross multiply
    6,511,795x = 14,180,755 × 14,180,755
  4. Step 4: Simplify right side
    6,511,795x = 201,093,812,370,025
  5. Step 5: Solve for x
    x = 201,093,812,370,025/6,511,795
  6. Step 6: Final answer
    x = 30,881,471.60

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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.