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Finding the Third Proportional to 422,619,543 and 915,590,016

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Solution

The third proportional to 422,619,543 and 915,590,016 is: 1,983,592,787.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,619,543 : 915,590,016 = 915,590,016 : x
  2. Step 2: Convert to fraction form
    422,619,543/915,590,016 = 915,590,016/x
  3. Step 3: Cross multiply
    422,619,543x = 915,590,016 × 915,590,016
  4. Step 4: Simplify right side
    422,619,543x = 838,305,077,398,880,256
  5. Step 5: Solve for x
    x = 838,305,077,398,880,256/422,619,543
  6. Step 6: Final answer
    x = 1,983,592,787.61

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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.