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Finding the Third Proportional to 10,562,997.75 and 22,260,843

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Solution

The third proportional to 10,562,997.75 and 22,260,843 is: 46,913,304.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,562,997.75 : 22,260,843 = 22,260,843 : x
  2. Step 2: Convert to fraction form
    10,562,997.75/22,260,843 = 22,260,843/x
  3. Step 3: Cross multiply
    10,562,997.75x = 22,260,843 × 22,260,843
  4. Step 4: Simplify right side
    10,562,997.75x = 495,545,131,070,649
  5. Step 5: Solve for x
    x = 495,545,131,070,649/10,562,997.75
  6. Step 6: Final answer
    x = 46,913,304.61

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.