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Finding the Third Proportional to 37,072,221.75 and 77,532,369.75

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Solution

The third proportional to 37,072,221.75 and 77,532,369.75 is: 162,150,205.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,072,221.75 : 77,532,369.75 = 77,532,369.75 : x
  2. Step 2: Convert to fraction form
    37,072,221.75/77,532,369.75 = 77,532,369.75/x
  3. Step 3: Cross multiply
    37,072,221.75x = 77,532,369.75 × 77,532,369.75
  4. Step 4: Simplify right side
    37,072,221.75x = 6,011,268,359,050,715
  5. Step 5: Solve for x
    x = 6,011,268,359,050,715/37,072,221.75
  6. Step 6: Final answer
    x = 162,150,205.07

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.