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Finding the Third Proportional to 37,416,976.13 and 80,004,942.75

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Solution

The third proportional to 37,416,976.13 and 80,004,942.75 is: 171,066,492.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,416,976.13 : 80,004,942.75 = 80,004,942.75 : x
  2. Step 2: Convert to fraction form
    37,416,976.13/80,004,942.75 = 80,004,942.75/x
  3. Step 3: Cross multiply
    37,416,976.13x = 80,004,942.75 × 80,004,942.75
  4. Step 4: Simplify right side
    37,416,976.13x = 6,400,790,864,430,778
  5. Step 5: Solve for x
    x = 6,400,790,864,430,778/37,416,976.13
  6. Step 6: Final answer
    x = 171,066,492.47

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.