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Finding the Third Proportional to 233,520,384,852 and 509,845,150,692

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Solution

The third proportional to 233,520,384,852 and 509,845,150,692 is: 1,113,145,123,706.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,520,384,852 : 509,845,150,692 = 509,845,150,692 : x
  2. Step 2: Convert to fraction form
    233,520,384,852/509,845,150,692 = 509,845,150,692/x
  3. Step 3: Cross multiply
    233,520,384,852x = 509,845,150,692 × 509,845,150,692
  4. Step 4: Simplify right side
    233,520,384,852x = 259,942,077,684,148,200,275,968
  5. Step 5: Solve for x
    x = 259,942,077,684,148,200,275,968/233,520,384,852
  6. Step 6: Final answer
    x = 1,113,145,123,706.84

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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.