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Finding the Third Proportional to 4,726,125 and 10,367,142

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Solution

The third proportional to 4,726,125 and 10,367,142 is: 22,741,174.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,726,125 : 10,367,142 = 10,367,142 : x
  2. Step 2: Convert to fraction form
    4,726,125/10,367,142 = 10,367,142/x
  3. Step 3: Cross multiply
    4,726,125x = 10,367,142 × 10,367,142
  4. Step 4: Simplify right side
    4,726,125x = 107,477,633,248,164
  5. Step 5: Solve for x
    x = 107,477,633,248,164/4,726,125
  6. Step 6: Final answer
    x = 22,741,174.48

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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.