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Finding the Third Proportional to 31,103,106 and 43,780,941

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Solution

The third proportional to 31,103,106 and 43,780,941 is: 61,626,346.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,103,106 : 43,780,941 = 43,780,941 : x
  2. Step 2: Convert to fraction form
    31,103,106/43,780,941 = 43,780,941/x
  3. Step 3: Cross multiply
    31,103,106x = 43,780,941 × 43,780,941
  4. Step 4: Simplify right side
    31,103,106x = 1,916,770,794,845,481
  5. Step 5: Solve for x
    x = 1,916,770,794,845,481/31,103,106
  6. Step 6: Final answer
    x = 61,626,346.73

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.