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Finding the Third Proportional to 4,656,762 and 10,179,234

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Solution

The third proportional to 4,656,762 and 10,179,234 is: 22,250,826.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,656,762 : 10,179,234 = 10,179,234 : x
  2. Step 2: Convert to fraction form
    4,656,762/10,179,234 = 10,179,234/x
  3. Step 3: Cross multiply
    4,656,762x = 10,179,234 × 10,179,234
  4. Step 4: Simplify right side
    4,656,762x = 103,616,804,826,756
  5. Step 5: Solve for x
    x = 103,616,804,826,756/4,656,762
  6. Step 6: Final answer
    x = 22,250,826.82

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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.