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Finding the Third Proportional to 6,511,799 and 14,180,764

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Solution

The third proportional to 6,511,799 and 14,180,764 is: 30,881,491.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,511,799 : 14,180,764 = 14,180,764 : x
  2. Step 2: Convert to fraction form
    6,511,799/14,180,764 = 14,180,764/x
  3. Step 3: Cross multiply
    6,511,799x = 14,180,764 × 14,180,764
  4. Step 4: Simplify right side
    6,511,799x = 201,094,067,623,696
  5. Step 5: Solve for x
    x = 201,094,067,623,696/6,511,799
  6. Step 6: Final answer
    x = 30,881,491.83

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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.