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Finding the Third Proportional to 4,897,794 and 11,437,173

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Solution

The third proportional to 4,897,794 and 11,437,173 is: 26,707,723.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,897,794 : 11,437,173 = 11,437,173 : x
  2. Step 2: Convert to fraction form
    4,897,794/11,437,173 = 11,437,173/x
  3. Step 3: Cross multiply
    4,897,794x = 11,437,173 × 11,437,173
  4. Step 4: Simplify right side
    4,897,794x = 130,808,926,231,929
  5. Step 5: Solve for x
    x = 130,808,926,231,929/4,897,794
  6. Step 6: Final answer
    x = 26,707,723.16

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.