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Finding the Third Proportional to 2,661,711 and 5,771,832

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Solution

The third proportional to 2,661,711 and 5,771,832 is: 12,516,026.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,661,711 : 5,771,832 = 5,771,832 : x
  2. Step 2: Convert to fraction form
    2,661,711/5,771,832 = 5,771,832/x
  3. Step 3: Cross multiply
    2,661,711x = 5,771,832 × 5,771,832
  4. Step 4: Simplify right side
    2,661,711x = 33,314,044,636,224
  5. Step 5: Solve for x
    x = 33,314,044,636,224/2,661,711
  6. Step 6: Final answer
    x = 12,516,026.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.