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Finding the Third Proportional to 34,716,107.25 and 47,284,965

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Solution

The third proportional to 34,716,107.25 and 47,284,965 is: 64,404,338.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,716,107.25 : 47,284,965 = 47,284,965 : x
  2. Step 2: Convert to fraction form
    34,716,107.25/47,284,965 = 47,284,965/x
  3. Step 3: Cross multiply
    34,716,107.25x = 47,284,965 × 47,284,965
  4. Step 4: Simplify right side
    34,716,107.25x = 2,235,867,915,051,225
  5. Step 5: Solve for x
    x = 2,235,867,915,051,225/34,716,107.25
  6. Step 6: Final answer
    x = 64,404,338.28

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.