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Finding the Third Proportional to 6,309,888 and 9,461,760

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Solution

The third proportional to 6,309,888 and 9,461,760 is: 14,188,033.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,309,888 : 9,461,760 = 9,461,760 : x
  2. Step 2: Convert to fraction form
    6,309,888/9,461,760 = 9,461,760/x
  3. Step 3: Cross multiply
    6,309,888x = 9,461,760 × 9,461,760
  4. Step 4: Simplify right side
    6,309,888x = 89,524,902,297,600
  5. Step 5: Solve for x
    x = 89,524,902,297,600/6,309,888
  6. Step 6: Final answer
    x = 14,188,033.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.