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Finding the Third Proportional to 8,946,942 and 13,769,181

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Solution

The third proportional to 8,946,942 and 13,769,181 is: 21,190,519.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,946,942 : 13,769,181 = 13,769,181 : x
  2. Step 2: Convert to fraction form
    8,946,942/13,769,181 = 13,769,181/x
  3. Step 3: Cross multiply
    8,946,942x = 13,769,181 × 13,769,181
  4. Step 4: Simplify right side
    8,946,942x = 189,590,345,410,761
  5. Step 5: Solve for x
    x = 189,590,345,410,761/8,946,942
  6. Step 6: Final answer
    x = 21,190,519.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.