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Finding the Third Proportional to 45,540,189 and 69,954,723

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Solution

The third proportional to 45,540,189 and 69,954,723 is: 107,458,123.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,540,189 : 69,954,723 = 69,954,723 : x
  2. Step 2: Convert to fraction form
    45,540,189/69,954,723 = 69,954,723/x
  3. Step 3: Cross multiply
    45,540,189x = 69,954,723 × 69,954,723
  4. Step 4: Simplify right side
    45,540,189x = 4,893,663,270,006,729
  5. Step 5: Solve for x
    x = 4,893,663,270,006,729/45,540,189
  6. Step 6: Final answer
    x = 107,458,123.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.