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Finding the Third Proportional to 62,728,374 and 135,880,262

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Solution

The third proportional to 62,728,374 and 135,880,262 is: 294,339,617.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,728,374 : 135,880,262 = 135,880,262 : x
  2. Step 2: Convert to fraction form
    62,728,374/135,880,262 = 135,880,262/x
  3. Step 3: Cross multiply
    62,728,374x = 135,880,262 × 135,880,262
  4. Step 4: Simplify right side
    62,728,374x = 18,463,445,601,188,644
  5. Step 5: Solve for x
    x = 18,463,445,601,188,644/62,728,374
  6. Step 6: Final answer
    x = 294,339,617.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.