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Finding the Third Proportional to 1,806,654,381 and 2,761,908,378

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Solution

The third proportional to 1,806,654,381 and 2,761,908,378 is: 4,222,245,255.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,806,654,381 : 2,761,908,378 = 2,761,908,378 : x
  2. Step 2: Convert to fraction form
    1,806,654,381/2,761,908,378 = 2,761,908,378/x
  3. Step 3: Cross multiply
    1,806,654,381x = 2,761,908,378 × 2,761,908,378
  4. Step 4: Simplify right side
    1,806,654,381x = 7,628,137,888,466,590,720
  5. Step 5: Solve for x
    x = 7,628,137,888,466,590,720/1,806,654,381
  6. Step 6: Final answer
    x = 4,222,245,255.48

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.