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Finding the Third Proportional to 2,143,546,380 and 4,643,283,834

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Solution

The third proportional to 2,143,546,380 and 4,643,283,834 is: 10,058,137,749.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143,546,380 : 4,643,283,834 = 4,643,283,834 : x
  2. Step 2: Convert to fraction form
    2,143,546,380/4,643,283,834 = 4,643,283,834/x
  3. Step 3: Cross multiply
    2,143,546,380x = 4,643,283,834 × 4,643,283,834
  4. Step 4: Simplify right side
    2,143,546,380x = 21,560,084,763,085,737,984
  5. Step 5: Solve for x
    x = 21,560,084,763,085,737,984/2,143,546,380
  6. Step 6: Final answer
    x = 10,058,137,749.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.