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Finding the Third Proportional to 1,535,419,204 and 3,315,500,406

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Solution

The third proportional to 1,535,419,204 and 3,315,500,406 is: 7,159,310,573.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535,419,204 : 3,315,500,406 = 3,315,500,406 : x
  2. Step 2: Convert to fraction form
    1,535,419,204/3,315,500,406 = 3,315,500,406/x
  3. Step 3: Cross multiply
    1,535,419,204x = 3,315,500,406 × 3,315,500,406
  4. Step 4: Simplify right side
    1,535,419,204x = 10,992,542,942,186,164,224
  5. Step 5: Solve for x
    x = 10,992,542,942,186,164,224/1,535,419,204
  6. Step 6: Final answer
    x = 7,159,310,573.65

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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.