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Finding the Third Proportional to 22,994,712.75 and 50,071,825.50

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Solution

The third proportional to 22,994,712.75 and 50,071,825.50 is: 109,033,225.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,994,712.75 : 50,071,825.50 = 50,071,825.50 : x
  2. Step 2: Convert to fraction form
    22,994,712.75/50,071,825.50 = 50,071,825.50/x
  3. Step 3: Cross multiply
    22,994,712.75x = 50,071,825.50 × 50,071,825.50
  4. Step 4: Simplify right side
    22,994,712.75x = 2,507,187,708,902,450
  5. Step 5: Solve for x
    x = 2,507,187,708,902,450/22,994,712.75
  6. Step 6: Final answer
    x = 109,033,225.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.