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Finding the Third Proportional to 310,420,916 and 675,954,231

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Solution

The third proportional to 310,420,916 and 675,954,231 is: 1,471,917,963.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,420,916 : 675,954,231 = 675,954,231 : x
  2. Step 2: Convert to fraction form
    310,420,916/675,954,231 = 675,954,231/x
  3. Step 3: Cross multiply
    310,420,916x = 675,954,231 × 675,954,231
  4. Step 4: Simplify right side
    310,420,916x = 456,914,122,406,801,344
  5. Step 5: Solve for x
    x = 456,914,122,406,801,344/310,420,916
  6. Step 6: Final answer
    x = 1,471,917,963.18

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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.