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Finding the Third Proportional to 6,295,995 and 13,766,418

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Solution

The third proportional to 6,295,995 and 13,766,418 is: 30,100,764.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,295,995 : 13,766,418 = 13,766,418 : x
  2. Step 2: Convert to fraction form
    6,295,995/13,766,418 = 13,766,418/x
  3. Step 3: Cross multiply
    6,295,995x = 13,766,418 × 13,766,418
  4. Step 4: Simplify right side
    6,295,995x = 189,514,264,550,724
  5. Step 5: Solve for x
    x = 189,514,264,550,724/6,295,995
  6. Step 6: Final answer
    x = 30,100,764.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.