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Finding the Third Proportional to 45,675,932 and 107,790,558

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Solution

The third proportional to 45,675,932 and 107,790,558 is: 254,374,763.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,675,932 : 107,790,558 = 107,790,558 : x
  2. Step 2: Convert to fraction form
    45,675,932/107,790,558 = 107,790,558/x
  3. Step 3: Cross multiply
    45,675,932x = 107,790,558 × 107,790,558
  4. Step 4: Simplify right side
    45,675,932x = 11,618,804,393,951,364
  5. Step 5: Solve for x
    x = 11,618,804,393,951,364/45,675,932
  6. Step 6: Final answer
    x = 254,374,763.36

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.