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Finding the Third Proportional to 27,058,429.69 and 36,762,184.13

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Solution

The third proportional to 27,058,429.69 and 36,762,184.13 is: 49,945,920.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,058,429.69 : 36,762,184.13 = 36,762,184.13 : x
  2. Step 2: Convert to fraction form
    27,058,429.69/36,762,184.13 = 36,762,184.13/x
  3. Step 3: Cross multiply
    27,058,429.69x = 36,762,184.13 × 36,762,184.13
  4. Step 4: Simplify right side
    27,058,429.69x = 1,351,458,181,640,402
  5. Step 5: Solve for x
    x = 1,351,458,181,640,402/27,058,429.69
  6. Step 6: Final answer
    x = 49,945,920.63

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.