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Finding the Third Proportional to 27,833,463 and 57,576,177

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Solution

The third proportional to 27,833,463 and 57,576,177 is: 119,101,822.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,833,463 : 57,576,177 = 57,576,177 : x
  2. Step 2: Convert to fraction form
    27,833,463/57,576,177 = 57,576,177/x
  3. Step 3: Cross multiply
    27,833,463x = 57,576,177 × 57,576,177
  4. Step 4: Simplify right side
    27,833,463x = 3,315,016,157,935,329
  5. Step 5: Solve for x
    x = 3,315,016,157,935,329/27,833,463
  6. Step 6: Final answer
    x = 119,101,822.07

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.