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Finding the Third Proportional to 49,044,072.38 and 105,129,738

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Solution

The third proportional to 49,044,072.38 and 105,129,738 is: 225,353,672.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,044,072.38 : 105,129,738 = 105,129,738 : x
  2. Step 2: Convert to fraction form
    49,044,072.38/105,129,738 = 105,129,738/x
  3. Step 3: Cross multiply
    49,044,072.38x = 105,129,738 × 105,129,738
  4. Step 4: Simplify right side
    49,044,072.38x = 11,052,261,811,948,644
  5. Step 5: Solve for x
    x = 11,052,261,811,948,644/49,044,072.38
  6. Step 6: Final answer
    x = 225,353,672.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.