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Finding the Third Proportional to 4,760,372 and 10,465,407

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Solution

The third proportional to 4,760,372 and 10,465,407 is: 23,007,601.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,760,372 : 10,465,407 = 10,465,407 : x
  2. Step 2: Convert to fraction form
    4,760,372/10,465,407 = 10,465,407/x
  3. Step 3: Cross multiply
    4,760,372x = 10,465,407 × 10,465,407
  4. Step 4: Simplify right side
    4,760,372x = 109,524,743,675,649
  5. Step 5: Solve for x
    x = 109,524,743,675,649/4,760,372
  6. Step 6: Final answer
    x = 23,007,601.86

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.