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Finding the Third Proportional to 5,677,741.69 and 12,454,615.97

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Solution

The third proportional to 5,677,741.69 and 12,454,615.97 is: 27,320,274.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,677,741.69 : 12,454,615.97 = 12,454,615.97 : x
  2. Step 2: Convert to fraction form
    5,677,741.69/12,454,615.97 = 12,454,615.97/x
  3. Step 3: Cross multiply
    5,677,741.69x = 12,454,615.97 × 12,454,615.97
  4. Step 4: Simplify right side
    5,677,741.69x = 155,117,458,929,042.50
  5. Step 5: Solve for x
    x = 155,117,458,929,042.50/5,677,741.69
  6. Step 6: Final answer
    x = 27,320,274.06

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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.