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Finding the Third Proportional to 1,537,494,022 and 2,296,165,969

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Solution

The third proportional to 1,537,494,022 and 2,296,165,969 is: 3,429,202,378.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537,494,022 : 2,296,165,969 = 2,296,165,969 : x
  2. Step 2: Convert to fraction form
    1,537,494,022/2,296,165,969 = 2,296,165,969/x
  3. Step 3: Cross multiply
    1,537,494,022x = 2,296,165,969 × 2,296,165,969
  4. Step 4: Simplify right side
    1,537,494,022x = 5,272,378,157,193,708,544
  5. Step 5: Solve for x
    x = 5,272,378,157,193,708,544/1,537,494,022
  6. Step 6: Final answer
    x = 3,429,202,378.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.