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Finding the Third Proportional to 2,459,447,530 and 5,310,796,668.75

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Solution

The third proportional to 2,459,447,530 and 5,310,796,668.75 is: 11,467,844,266.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,459,447,530 : 5,310,796,668.75 = 5,310,796,668.75 : x
  2. Step 2: Convert to fraction form
    2,459,447,530/5,310,796,668.75 = 5,310,796,668.75/x
  3. Step 3: Cross multiply
    2,459,447,530x = 5,310,796,668.75 × 5,310,796,668.75
  4. Step 4: Simplify right side
    2,459,447,530x = 28,204,561,256,806,096,896
  5. Step 5: Solve for x
    x = 28,204,561,256,806,096,896/2,459,447,530
  6. Step 6: Final answer
    x = 11,467,844,266.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.