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Finding the Third Proportional to 9,576,183 and 14,463,582

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Solution

The third proportional to 9,576,183 and 14,463,582 is: 21,845,364.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,576,183 : 14,463,582 = 14,463,582 : x
  2. Step 2: Convert to fraction form
    9,576,183/14,463,582 = 14,463,582/x
  3. Step 3: Cross multiply
    9,576,183x = 14,463,582 × 14,463,582
  4. Step 4: Simplify right side
    9,576,183x = 209,195,204,270,724
  5. Step 5: Solve for x
    x = 209,195,204,270,724/9,576,183
  6. Step 6: Final answer
    x = 21,845,364.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.