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Finding the Third Proportional to 533,254,760 and 831,059,100

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Solution

The third proportional to 533,254,760 and 831,059,100 is: 1,295,176,863.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,254,760 : 831,059,100 = 831,059,100 : x
  2. Step 2: Convert to fraction form
    533,254,760/831,059,100 = 831,059,100/x
  3. Step 3: Cross multiply
    533,254,760x = 831,059,100 × 831,059,100
  4. Step 4: Simplify right side
    533,254,760x = 690,659,227,692,809,984
  5. Step 5: Solve for x
    x = 690,659,227,692,809,984/533,254,760
  6. Step 6: Final answer
    x = 1,295,176,863.86

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.