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Finding the Third Proportional to 48,794,966 and 102,622,012

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Solution

The third proportional to 48,794,966 and 102,622,012 is: 215,827,127.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,794,966 : 102,622,012 = 102,622,012 : x
  2. Step 2: Convert to fraction form
    48,794,966/102,622,012 = 102,622,012/x
  3. Step 3: Cross multiply
    48,794,966x = 102,622,012 × 102,622,012
  4. Step 4: Simplify right side
    48,794,966x = 10,531,277,346,928,144
  5. Step 5: Solve for x
    x = 10,531,277,346,928,144/48,794,966
  6. Step 6: Final answer
    x = 215,827,127.47

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.