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Finding the Third Proportional to 6,093,614 and 9,465,813

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Solution

The third proportional to 6,093,614 and 9,465,813 is: 14,704,183.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,093,614 : 9,465,813 = 9,465,813 : x
  2. Step 2: Convert to fraction form
    6,093,614/9,465,813 = 9,465,813/x
  3. Step 3: Cross multiply
    6,093,614x = 9,465,813 × 9,465,813
  4. Step 4: Simplify right side
    6,093,614x = 89,601,615,750,969
  5. Step 5: Solve for x
    x = 89,601,615,750,969/6,093,614
  6. Step 6: Final answer
    x = 14,704,183.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.