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Finding the Third Proportional to 2,738,377 and 6,106,391

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Solution

The third proportional to 2,738,377 and 6,106,391 is: 13,616,828.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738,377 : 6,106,391 = 6,106,391 : x
  2. Step 2: Convert to fraction form
    2,738,377/6,106,391 = 6,106,391/x
  3. Step 3: Cross multiply
    2,738,377x = 6,106,391 × 6,106,391
  4. Step 4: Simplify right side
    2,738,377x = 37,288,011,044,881
  5. Step 5: Solve for x
    x = 37,288,011,044,881/2,738,377
  6. Step 6: Final answer
    x = 13,616,828.89

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.