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Finding the Third Proportional to 37,711,900.50 and 57,664,358.25

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Solution

The third proportional to 37,711,900.50 and 57,664,358.25 is: 88,173,180.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,711,900.50 : 57,664,358.25 = 57,664,358.25 : x
  2. Step 2: Convert to fraction form
    37,711,900.50/57,664,358.25 = 57,664,358.25/x
  3. Step 3: Cross multiply
    37,711,900.50x = 57,664,358.25 × 57,664,358.25
  4. Step 4: Simplify right side
    37,711,900.50x = 3,325,178,212,384,343
  5. Step 5: Solve for x
    x = 3,325,178,212,384,343/37,711,900.50
  6. Step 6: Final answer
    x = 88,173,180.57

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.