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Finding the Third Proportional to 45,845,760 and 68,587,100

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Solution

The third proportional to 45,845,760 and 68,587,100 is: 102,609,058.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,845,760 : 68,587,100 = 68,587,100 : x
  2. Step 2: Convert to fraction form
    45,845,760/68,587,100 = 68,587,100/x
  3. Step 3: Cross multiply
    45,845,760x = 68,587,100 × 68,587,100
  4. Step 4: Simplify right side
    45,845,760x = 4,704,190,286,410,000
  5. Step 5: Solve for x
    x = 4,704,190,286,410,000/45,845,760
  6. Step 6: Final answer
    x = 102,609,058.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.