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Finding the Third Proportional to 2,067,295,500 and 3,177,576,378

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Solution

The third proportional to 2,067,295,500 and 3,177,576,378 is: 4,884,154,992.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067,295,500 : 3,177,576,378 = 3,177,576,378 : x
  2. Step 2: Convert to fraction form
    2,067,295,500/3,177,576,378 = 3,177,576,378/x
  3. Step 3: Cross multiply
    2,067,295,500x = 3,177,576,378 × 3,177,576,378
  4. Step 4: Simplify right side
    2,067,295,500x = 10,096,991,638,023,598,080
  5. Step 5: Solve for x
    x = 10,096,991,638,023,598,080/2,067,295,500
  6. Step 6: Final answer
    x = 4,884,154,992.85

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.