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Finding the Third Proportional to 20,174,409.56 and 41,784,336.56

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Solution

The third proportional to 20,174,409.56 and 41,784,336.56 is: 86,541,852.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,174,409.56 : 41,784,336.56 = 41,784,336.56 : x
  2. Step 2: Convert to fraction form
    20,174,409.56/41,784,336.56 = 41,784,336.56/x
  3. Step 3: Cross multiply
    20,174,409.56x = 41,784,336.56 × 41,784,336.56
  4. Step 4: Simplify right side
    20,174,409.56x = 1,745,930,781,968,274.25
  5. Step 5: Solve for x
    x = 1,745,930,781,968,274.25/20,174,409.56
  6. Step 6: Final answer
    x = 86,541,852.76

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.