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Finding the Third Proportional to 27,502,275 and 58,282,983

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Solution

The third proportional to 27,502,275 and 58,282,983 is: 123,513,640.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,502,275 : 58,282,983 = 58,282,983 : x
  2. Step 2: Convert to fraction form
    27,502,275/58,282,983 = 58,282,983/x
  3. Step 3: Cross multiply
    27,502,275x = 58,282,983 × 58,282,983
  4. Step 4: Simplify right side
    27,502,275x = 3,396,906,107,378,289
  5. Step 5: Solve for x
    x = 3,396,906,107,378,289/27,502,275
  6. Step 6: Final answer
    x = 123,513,640.50

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.