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Finding the Third Proportional to 4,704,751 and 10,206,110

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Solution

The third proportional to 4,704,751 and 10,206,110 is: 22,140,317.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,704,751 : 10,206,110 = 10,206,110 : x
  2. Step 2: Convert to fraction form
    4,704,751/10,206,110 = 10,206,110/x
  3. Step 3: Cross multiply
    4,704,751x = 10,206,110 × 10,206,110
  4. Step 4: Simplify right side
    4,704,751x = 104,164,681,332,100
  5. Step 5: Solve for x
    x = 104,164,681,332,100/4,704,751
  6. Step 6: Final answer
    x = 22,140,317.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.