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Finding the Third Proportional to 4,535,166 and 6,874,734

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Solution

The third proportional to 4,535,166 and 6,874,734 is: 10,421,221.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,535,166 : 6,874,734 = 6,874,734 : x
  2. Step 2: Convert to fraction form
    4,535,166/6,874,734 = 6,874,734/x
  3. Step 3: Cross multiply
    4,535,166x = 6,874,734 × 6,874,734
  4. Step 4: Simplify right side
    4,535,166x = 47,261,967,570,756
  5. Step 5: Solve for x
    x = 47,261,967,570,756/4,535,166
  6. Step 6: Final answer
    x = 10,421,221.09

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.