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Finding the Third Proportional to 679,216,072 and 1,467,487,378

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Solution

The third proportional to 679,216,072 and 1,467,487,378 is: 3,170,595,180.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    679,216,072 : 1,467,487,378 = 1,467,487,378 : x
  2. Step 2: Convert to fraction form
    679,216,072/1,467,487,378 = 1,467,487,378/x
  3. Step 3: Cross multiply
    679,216,072x = 1,467,487,378 × 1,467,487,378
  4. Step 4: Simplify right side
    679,216,072x = 2,153,519,204,589,314,816
  5. Step 5: Solve for x
    x = 2,153,519,204,589,314,816/679,216,072
  6. Step 6: Final answer
    x = 3,170,595,180.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.