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Finding the Third Proportional to 27,732,660 and 61,838,238

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Solution

The third proportional to 27,732,660 and 61,838,238 is: 137,886,797.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,732,660 : 61,838,238 = 61,838,238 : x
  2. Step 2: Convert to fraction form
    27,732,660/61,838,238 = 61,838,238/x
  3. Step 3: Cross multiply
    27,732,660x = 61,838,238 × 61,838,238
  4. Step 4: Simplify right side
    27,732,660x = 3,823,967,678,944,644
  5. Step 5: Solve for x
    x = 3,823,967,678,944,644/27,732,660
  6. Step 6: Final answer
    x = 137,886,797.69

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.