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Finding the Third Proportional to 310,420,896.75 and 675,954,193.50

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Solution

The third proportional to 310,420,896.75 and 675,954,193.50 is: 1,471,917,891.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,420,896.75 : 675,954,193.50 = 675,954,193.50 : x
  2. Step 2: Convert to fraction form
    310,420,896.75/675,954,193.50 = 675,954,193.50/x
  3. Step 3: Cross multiply
    310,420,896.75x = 675,954,193.50 × 675,954,193.50
  4. Step 4: Simplify right side
    310,420,896.75x = 456,914,071,710,235,456
  5. Step 5: Solve for x
    x = 456,914,071,710,235,456/310,420,896.75
  6. Step 6: Final answer
    x = 1,471,917,891.14

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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.