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Finding the Third Proportional to 628,519,640 and 1,481,595,282

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Solution

The third proportional to 628,519,640 and 1,481,595,282 is: 3,492,531,402.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,519,640 : 1,481,595,282 = 1,481,595,282 : x
  2. Step 2: Convert to fraction form
    628,519,640/1,481,595,282 = 1,481,595,282/x
  3. Step 3: Cross multiply
    628,519,640x = 1,481,595,282 × 1,481,595,282
  4. Step 4: Simplify right side
    628,519,640x = 2,195,124,579,644,659,456
  5. Step 5: Solve for x
    x = 2,195,124,579,644,659,456/628,519,640
  6. Step 6: Final answer
    x = 3,492,531,402.27

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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.