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Finding the Third Proportional to 310,420,914.50 and 675,954,228.50

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Solution

The third proportional to 310,420,914.50 and 675,954,228.50 is: 1,471,917,959.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,420,914.50 : 675,954,228.50 = 675,954,228.50 : x
  2. Step 2: Convert to fraction form
    310,420,914.50/675,954,228.50 = 675,954,228.50/x
  3. Step 3: Cross multiply
    310,420,914.50x = 675,954,228.50 × 675,954,228.50
  4. Step 4: Simplify right side
    310,420,914.50x = 456,914,119,027,030,208
  5. Step 5: Solve for x
    x = 456,914,119,027,030,208/310,420,914.50
  6. Step 6: Final answer
    x = 1,471,917,959.40

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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.