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Finding the Third Proportional to 1,325,429,445 and 1,976,650,198

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Solution

The third proportional to 1,325,429,445 and 1,976,650,198 is: 2,947,834,017.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,325,429,445 : 1,976,650,198 = 1,976,650,198 : x
  2. Step 2: Convert to fraction form
    1,325,429,445/1,976,650,198 = 1,976,650,198/x
  3. Step 3: Cross multiply
    1,325,429,445x = 1,976,650,198 × 1,976,650,198
  4. Step 4: Simplify right side
    1,325,429,445x = 3,907,146,005,253,438,976
  5. Step 5: Solve for x
    x = 3,907,146,005,253,438,976/1,325,429,445
  6. Step 6: Final answer
    x = 2,947,834,017.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.