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Finding the Third Proportional to 49,668,058 and 74,196,206

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Solution

The third proportional to 49,668,058 and 74,196,206 is: 110,837,371.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,668,058 : 74,196,206 = 74,196,206 : x
  2. Step 2: Convert to fraction form
    49,668,058/74,196,206 = 74,196,206/x
  3. Step 3: Cross multiply
    49,668,058x = 74,196,206 × 74,196,206
  4. Step 4: Simplify right side
    49,668,058x = 5,505,076,984,794,436
  5. Step 5: Solve for x
    x = 5,505,076,984,794,436/49,668,058
  6. Step 6: Final answer
    x = 110,837,371.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.