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Finding the Third Proportional to 4,782,831,538 and 6,732,345,810

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Solution

The third proportional to 4,782,831,538 and 6,732,345,810 is: 9,476,495,198.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,782,831,538 : 6,732,345,810 = 6,732,345,810 : x
  2. Step 2: Convert to fraction form
    4,782,831,538/6,732,345,810 = 6,732,345,810/x
  3. Step 3: Cross multiply
    4,782,831,538x = 6,732,345,810 × 6,732,345,810
  4. Step 4: Simplify right side
    4,782,831,538x = 45,324,480,105,424,560,128
  5. Step 5: Solve for x
    x = 45,324,480,105,424,560,128/4,782,831,538
  6. Step 6: Final answer
    x = 9,476,495,198.57

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.