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Finding the Third Proportional to 41,493,834.75 and 66,669,426.75

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Solution

The third proportional to 41,493,834.75 and 66,669,426.75 is: 107,119,828.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,493,834.75 : 66,669,426.75 = 66,669,426.75 : x
  2. Step 2: Convert to fraction form
    41,493,834.75/66,669,426.75 = 66,669,426.75/x
  3. Step 3: Cross multiply
    41,493,834.75x = 66,669,426.75 × 66,669,426.75
  4. Step 4: Simplify right side
    41,493,834.75x = 4,444,812,463,173,615.50
  5. Step 5: Solve for x
    x = 4,444,812,463,173,615.50/41,493,834.75
  6. Step 6: Final answer
    x = 107,119,828.52

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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.