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Finding the Third Proportional to 41,494,495.50 and 66,670,338.75

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Solution

The third proportional to 41,494,495.50 and 66,670,338.75 is: 107,121,053.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,494,495.50 : 66,670,338.75 = 66,670,338.75 : x
  2. Step 2: Convert to fraction form
    41,494,495.50/66,670,338.75 = 66,670,338.75/x
  3. Step 3: Cross multiply
    41,494,495.50x = 66,670,338.75 × 66,670,338.75
  4. Step 4: Simplify right side
    41,494,495.50x = 4,444,934,069,039,751.50
  5. Step 5: Solve for x
    x = 4,444,934,069,039,751.50/41,494,495.50
  6. Step 6: Final answer
    x = 107,121,053.42

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.