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Finding the Third Proportional to 9,651,443.63 and 20,096,775

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Solution

The third proportional to 9,651,443.63 and 20,096,775 is: 41,846,627.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,651,443.63 : 20,096,775 = 20,096,775 : x
  2. Step 2: Convert to fraction form
    9,651,443.63/20,096,775 = 20,096,775/x
  3. Step 3: Cross multiply
    9,651,443.63x = 20,096,775 × 20,096,775
  4. Step 4: Simplify right side
    9,651,443.63x = 403,880,365,400,625
  5. Step 5: Solve for x
    x = 403,880,365,400,625/9,651,443.63
  6. Step 6: Final answer
    x = 41,846,627.42

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.