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Finding the Third Proportional to 29,576,469,264 and 69,749,526,002

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Solution

The third proportional to 29,576,469,264 and 69,749,526,002 is: 164,488,747,256.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,576,469,264 : 69,749,526,002 = 69,749,526,002 : x
  2. Step 2: Convert to fraction form
    29,576,469,264/69,749,526,002 = 69,749,526,002/x
  3. Step 3: Cross multiply
    29,576,469,264x = 69,749,526,002 × 69,749,526,002
  4. Step 4: Simplify right side
    29,576,469,264x = 4,864,996,377,503,674,138,624
  5. Step 5: Solve for x
    x = 4,864,996,377,503,674,138,624/29,576,469,264
  6. Step 6: Final answer
    x = 164,488,747,256.43

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.