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Finding the Third Proportional to 599,329,035,273.75 and 1,398,482,743,787.20

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Solution

The third proportional to 599,329,035,273.75 and 1,398,482,743,787.20 is: 3,263,239,171,746.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,329,035,273.75 : 1,398,482,743,787.20 = 1,398,482,743,787.20 : x
  2. Step 2: Convert to fraction form
    599,329,035,273.75/1,398,482,743,787.20 = 1,398,482,743,787.20/x
  3. Step 3: Cross multiply
    599,329,035,273.75x = 1,398,482,743,787.20 × 1,398,482,743,787.20
  4. Step 4: Simplify right side
    599,329,035,273.75x = 1,955,753,984,670,575,257,190,400
  5. Step 5: Solve for x
    x = 1,955,753,984,670,575,257,190,400/599,329,035,273.75
  6. Step 6: Final answer
    x = 3,263,239,171,746.89

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.