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Finding the Third Proportional to 380,215,224 and 814,999,008

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Solution

The third proportional to 380,215,224 and 814,999,008 is: 1,746,966,825.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,215,224 : 814,999,008 = 814,999,008 : x
  2. Step 2: Convert to fraction form
    380,215,224/814,999,008 = 814,999,008/x
  3. Step 3: Cross multiply
    380,215,224x = 814,999,008 × 814,999,008
  4. Step 4: Simplify right side
    380,215,224x = 664,223,383,040,984,064
  5. Step 5: Solve for x
    x = 664,223,383,040,984,064/380,215,224
  6. Step 6: Final answer
    x = 1,746,966,825.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.