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Finding the Third Proportional to 5,177,856 and 11,351,040

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Solution

The third proportional to 5,177,856 and 11,351,040 is: 24,884,065.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,177,856 : 11,351,040 = 11,351,040 : x
  2. Step 2: Convert to fraction form
    5,177,856/11,351,040 = 11,351,040/x
  3. Step 3: Cross multiply
    5,177,856x = 11,351,040 × 11,351,040
  4. Step 4: Simplify right side
    5,177,856x = 128,846,109,081,600
  5. Step 5: Solve for x
    x = 128,846,109,081,600/5,177,856
  6. Step 6: Final answer
    x = 24,884,065.74

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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.