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Finding the Third Proportional to 129,984,641,940 and 283,045,393,055

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Solution

The third proportional to 129,984,641,940 and 283,045,393,055 is: 616,339,694,705.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,984,641,940 : 283,045,393,055 = 283,045,393,055 : x
  2. Step 2: Convert to fraction form
    129,984,641,940/283,045,393,055 = 283,045,393,055/x
  3. Step 3: Cross multiply
    129,984,641,940x = 283,045,393,055 × 283,045,393,055
  4. Step 4: Simplify right side
    129,984,641,940x = 80,114,694,529,659,449,638,912
  5. Step 5: Solve for x
    x = 80,114,694,529,659,449,638,912/129,984,641,940
  6. Step 6: Final answer
    x = 616,339,694,705.16

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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.