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Finding the Third Proportional to 6,511,563 and 14,143,734

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Solution

The third proportional to 6,511,563 and 14,143,734 is: 30,721,535.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,511,563 : 14,143,734 = 14,143,734 : x
  2. Step 2: Convert to fraction form
    6,511,563/14,143,734 = 14,143,734/x
  3. Step 3: Cross multiply
    6,511,563x = 14,143,734 × 14,143,734
  4. Step 4: Simplify right side
    6,511,563x = 200,045,211,462,756
  5. Step 5: Solve for x
    x = 200,045,211,462,756/6,511,563
  6. Step 6: Final answer
    x = 30,721,535.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.