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Finding the Third Proportional to 838,239,357 and 1,763,345,625

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Solution

The third proportional to 838,239,357 and 1,763,345,625 is: 3,709,427,107.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,239,357 : 1,763,345,625 = 1,763,345,625 : x
  2. Step 2: Convert to fraction form
    838,239,357/1,763,345,625 = 1,763,345,625/x
  3. Step 3: Cross multiply
    838,239,357x = 1,763,345,625 × 1,763,345,625
  4. Step 4: Simplify right side
    838,239,357x = 3,109,387,793,206,640,640
  5. Step 5: Solve for x
    x = 3,109,387,793,206,640,640/838,239,357
  6. Step 6: Final answer
    x = 3,709,427,107.23

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.