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Finding the Third Proportional to 51,352,968 and 112,782,096

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Solution

The third proportional to 51,352,968 and 112,782,096 is: 247,693,593.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,352,968 : 112,782,096 = 112,782,096 : x
  2. Step 2: Convert to fraction form
    51,352,968/112,782,096 = 112,782,096/x
  3. Step 3: Cross multiply
    51,352,968x = 112,782,096 × 112,782,096
  4. Step 4: Simplify right side
    51,352,968x = 12,719,801,178,153,216
  5. Step 5: Solve for x
    x = 12,719,801,178,153,216/51,352,968
  6. Step 6: Final answer
    x = 247,693,593.45

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.