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Finding the Third Proportional to 375,198,210.75 and 814,984,667.25

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Solution

The third proportional to 375,198,210.75 and 814,984,667.25 is: 1,770,264,326.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,198,210.75 : 814,984,667.25 = 814,984,667.25 : x
  2. Step 2: Convert to fraction form
    375,198,210.75/814,984,667.25 = 814,984,667.25/x
  3. Step 3: Cross multiply
    375,198,210.75x = 814,984,667.25 × 814,984,667.25
  4. Step 4: Simplify right side
    375,198,210.75x = 664,200,007,852,593,280
  5. Step 5: Solve for x
    x = 664,200,007,852,593,280/375,198,210.75
  6. Step 6: Final answer
    x = 1,770,264,326.49

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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.