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Finding the Third Proportional to 6,477,656 and 13,936,048

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Solution

The third proportional to 6,477,656 and 13,936,048 is: 29,982,054.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,477,656 : 13,936,048 = 13,936,048 : x
  2. Step 2: Convert to fraction form
    6,477,656/13,936,048 = 13,936,048/x
  3. Step 3: Cross multiply
    6,477,656x = 13,936,048 × 13,936,048
  4. Step 4: Simplify right side
    6,477,656x = 194,213,433,858,304
  5. Step 5: Solve for x
    x = 194,213,433,858,304/6,477,656
  6. Step 6: Final answer
    x = 29,982,054.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.