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Finding the Third Proportional to 7,601,200.50 and 16,398,138

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Solution

The third proportional to 7,601,200.50 and 16,398,138 is: 35,375,850.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,601,200.50 : 16,398,138 = 16,398,138 : x
  2. Step 2: Convert to fraction form
    7,601,200.50/16,398,138 = 16,398,138/x
  3. Step 3: Cross multiply
    7,601,200.50x = 16,398,138 × 16,398,138
  4. Step 4: Simplify right side
    7,601,200.50x = 268,898,929,867,044
  5. Step 5: Solve for x
    x = 268,898,929,867,044/7,601,200.50
  6. Step 6: Final answer
    x = 35,375,850.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.