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Finding the Third Proportional to 452,203,640 and 979,531,144

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Solution

The third proportional to 452,203,640 and 979,531,144 is: 2,121,790,222.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,203,640 : 979,531,144 = 979,531,144 : x
  2. Step 2: Convert to fraction form
    452,203,640/979,531,144 = 979,531,144/x
  3. Step 3: Cross multiply
    452,203,640x = 979,531,144 × 979,531,144
  4. Step 4: Simplify right side
    452,203,640x = 959,481,262,065,948,672
  5. Step 5: Solve for x
    x = 959,481,262,065,948,672/452,203,640
  6. Step 6: Final answer
    x = 2,121,790,222.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.