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Finding the Third Proportional to 2,842,738 and 6,283,377

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Solution

The third proportional to 2,842,738 and 6,283,377 is: 13,888,309.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842,738 : 6,283,377 = 6,283,377 : x
  2. Step 2: Convert to fraction form
    2,842,738/6,283,377 = 6,283,377/x
  3. Step 3: Cross multiply
    2,842,738x = 6,283,377 × 6,283,377
  4. Step 4: Simplify right side
    2,842,738x = 39,480,826,524,129
  5. Step 5: Solve for x
    x = 39,480,826,524,129/2,842,738
  6. Step 6: Final answer
    x = 13,888,309.98

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.