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Finding the Third Proportional to 305,816,511,328 and 425,213,414,228

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Solution

The third proportional to 305,816,511,328 and 425,213,414,228 is: 591,225,263,980.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,816,511,328 : 425,213,414,228 = 425,213,414,228 : x
  2. Step 2: Convert to fraction form
    305,816,511,328/425,213,414,228 = 425,213,414,228/x
  3. Step 3: Cross multiply
    305,816,511,328x = 425,213,414,228 × 425,213,414,228
  4. Step 4: Simplify right side
    305,816,511,328x = 180,806,447,639,432,718,712,832
  5. Step 5: Solve for x
    x = 180,806,447,639,432,718,712,832/305,816,511,328
  6. Step 6: Final answer
    x = 591,225,263,980.31

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.