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Finding the Third Proportional to 5,969,940 and 12,791,275

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Solution

The third proportional to 5,969,940 and 12,791,275 is: 27,406,760.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,969,940 : 12,791,275 = 12,791,275 : x
  2. Step 2: Convert to fraction form
    5,969,940/12,791,275 = 12,791,275/x
  3. Step 3: Cross multiply
    5,969,940x = 12,791,275 × 12,791,275
  4. Step 4: Simplify right side
    5,969,940x = 163,616,716,125,625
  5. Step 5: Solve for x
    x = 163,616,716,125,625/5,969,940
  6. Step 6: Final answer
    x = 27,406,760.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.