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Finding the Third Proportional to 9,804,674 and 14,647,683

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Solution

The third proportional to 9,804,674 and 14,647,683 is: 21,882,891.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,804,674 : 14,647,683 = 14,647,683 : x
  2. Step 2: Convert to fraction form
    9,804,674/14,647,683 = 14,647,683/x
  3. Step 3: Cross multiply
    9,804,674x = 14,647,683 × 14,647,683
  4. Step 4: Simplify right side
    9,804,674x = 214,554,617,268,489
  5. Step 5: Solve for x
    x = 214,554,617,268,489/9,804,674
  6. Step 6: Final answer
    x = 21,882,891.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.