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Finding the Third Proportional to 47,753,475 and 102,320,670

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Solution

The third proportional to 47,753,475 and 102,320,670 is: 219,240,997.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,753,475 : 102,320,670 = 102,320,670 : x
  2. Step 2: Convert to fraction form
    47,753,475/102,320,670 = 102,320,670/x
  3. Step 3: Cross multiply
    47,753,475x = 102,320,670 × 102,320,670
  4. Step 4: Simplify right side
    47,753,475x = 10,469,519,509,248,900
  5. Step 5: Solve for x
    x = 10,469,519,509,248,900/47,753,475
  6. Step 6: Final answer
    x = 219,240,997.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.