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Finding the Third Proportional to 62,529,344 and 135,753,664

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Solution

The third proportional to 62,529,344 and 135,753,664 is: 294,726,541.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,529,344 : 135,753,664 = 135,753,664 : x
  2. Step 2: Convert to fraction form
    62,529,344/135,753,664 = 135,753,664/x
  3. Step 3: Cross multiply
    62,529,344x = 135,753,664 × 135,753,664
  4. Step 4: Simplify right side
    62,529,344x = 18,429,057,289,424,896
  5. Step 5: Solve for x
    x = 18,429,057,289,424,896/62,529,344
  6. Step 6: Final answer
    x = 294,726,541.34

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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.