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Finding the Third Proportional to 620,613,296 and 1,350,187,756

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Solution

The third proportional to 620,613,296 and 1,350,187,756 is: 2,937,428,166.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,613,296 : 1,350,187,756 = 1,350,187,756 : x
  2. Step 2: Convert to fraction form
    620,613,296/1,350,187,756 = 1,350,187,756/x
  3. Step 3: Cross multiply
    620,613,296x = 1,350,187,756 × 1,350,187,756
  4. Step 4: Simplify right side
    620,613,296x = 1,823,006,976,452,315,648
  5. Step 5: Solve for x
    x = 1,823,006,976,452,315,648/620,613,296
  6. Step 6: Final answer
    x = 2,937,428,166.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.