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Finding the Third Proportional to 493,846,625.25 and 672,649,329.94

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Solution

The third proportional to 493,846,625.25 and 672,649,329.94 is: 916,189,557.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,846,625.25 : 672,649,329.94 = 672,649,329.94 : x
  2. Step 2: Convert to fraction form
    493,846,625.25/672,649,329.94 = 672,649,329.94/x
  3. Step 3: Cross multiply
    493,846,625.25x = 672,649,329.94 × 672,649,329.94
  4. Step 4: Simplify right side
    493,846,625.25x = 452,457,121,065,367,744
  5. Step 5: Solve for x
    x = 452,457,121,065,367,744/493,846,625.25
  6. Step 6: Final answer
    x = 916,189,557.51

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.