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Finding the Third Proportional to 4,651,352,976 and 7,149,465,879

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Solution

The third proportional to 4,651,352,976 and 7,149,465,879 is: 10,989,246,057.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,651,352,976 : 7,149,465,879 = 7,149,465,879 : x
  2. Step 2: Convert to fraction form
    4,651,352,976/7,149,465,879 = 7,149,465,879/x
  3. Step 3: Cross multiply
    4,651,352,976x = 7,149,465,879 × 7,149,465,879
  4. Step 4: Simplify right side
    4,651,352,976x = 51,114,862,354,985,246,720
  5. Step 5: Solve for x
    x = 51,114,862,354,985,246,720/4,651,352,976
  6. Step 6: Final answer
    x = 10,989,246,057.81

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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.