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Finding the Third Proportional to 310,420,913.50 and 675,954,227

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Solution

The third proportional to 310,420,913.50 and 675,954,227 is: 1,471,917,957.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,420,913.50 : 675,954,227 = 675,954,227 : x
  2. Step 2: Convert to fraction form
    310,420,913.50/675,954,227 = 675,954,227/x
  3. Step 3: Cross multiply
    310,420,913.50x = 675,954,227 × 675,954,227
  4. Step 4: Simplify right side
    310,420,913.50x = 456,914,116,999,167,552
  5. Step 5: Solve for x
    x = 456,914,116,999,167,552/310,420,913.50
  6. Step 6: Final answer
    x = 1,471,917,957.61

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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.