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Finding the Third Proportional to 104,776,713 and 220,412,232

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Solution

The third proportional to 104,776,713 and 220,412,232 is: 463,667,456.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,776,713 : 220,412,232 = 220,412,232 : x
  2. Step 2: Convert to fraction form
    104,776,713/220,412,232 = 220,412,232/x
  3. Step 3: Cross multiply
    104,776,713x = 220,412,232 × 220,412,232
  4. Step 4: Simplify right side
    104,776,713x = 48,581,552,015,221,824
  5. Step 5: Solve for x
    x = 48,581,552,015,221,824/104,776,713
  6. Step 6: Final answer
    x = 463,667,456.48

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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.