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Finding the Third Proportional to 9,163,894.50 and 18,096,493.50

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Solution

The third proportional to 9,163,894.50 and 18,096,493.50 is: 35,736,233.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,163,894.50 : 18,096,493.50 = 18,096,493.50 : x
  2. Step 2: Convert to fraction form
    9,163,894.50/18,096,493.50 = 18,096,493.50/x
  3. Step 3: Cross multiply
    9,163,894.50x = 18,096,493.50 × 18,096,493.50
  4. Step 4: Simplify right side
    9,163,894.50x = 327,483,076,995,542.25
  5. Step 5: Solve for x
    x = 327,483,076,995,542.25/9,163,894.50
  6. Step 6: Final answer
    x = 35,736,233.87

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.