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Finding the Third Proportional to 1,535,172,794 and 2,245,186,275

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Solution

The third proportional to 1,535,172,794 and 2,245,186,275 is: 3,283,579,170.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535,172,794 : 2,245,186,275 = 2,245,186,275 : x
  2. Step 2: Convert to fraction form
    1,535,172,794/2,245,186,275 = 2,245,186,275/x
  3. Step 3: Cross multiply
    1,535,172,794x = 2,245,186,275 × 2,245,186,275
  4. Step 4: Simplify right side
    1,535,172,794x = 5,040,861,409,448,375,296
  5. Step 5: Solve for x
    x = 5,040,861,409,448,375,296/1,535,172,794
  6. Step 6: Final answer
    x = 3,283,579,170.47

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.