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Finding the Third Proportional to 6,233,822 and 9,325,617

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Solution

The third proportional to 6,233,822 and 9,325,617 is: 13,950,852.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,233,822 : 9,325,617 = 9,325,617 : x
  2. Step 2: Convert to fraction form
    6,233,822/9,325,617 = 9,325,617/x
  3. Step 3: Cross multiply
    6,233,822x = 9,325,617 × 9,325,617
  4. Step 4: Simplify right side
    6,233,822x = 86,967,132,430,689
  5. Step 5: Solve for x
    x = 86,967,132,430,689/6,233,822
  6. Step 6: Final answer
    x = 13,950,852.69

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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.