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Finding the Third Proportional to 51,100,254 and 76,631,616

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Solution

The third proportional to 51,100,254 and 76,631,616 is: 114,919,283.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,100,254 : 76,631,616 = 76,631,616 : x
  2. Step 2: Convert to fraction form
    51,100,254/76,631,616 = 76,631,616/x
  3. Step 3: Cross multiply
    51,100,254x = 76,631,616 × 76,631,616
  4. Step 4: Simplify right side
    51,100,254x = 5,872,404,570,771,456
  5. Step 5: Solve for x
    x = 5,872,404,570,771,456/51,100,254
  6. Step 6: Final answer
    x = 114,919,283.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.