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Finding the Third Proportional to 31,103,100 and 43,780,932

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Solution

The third proportional to 31,103,100 and 43,780,932 is: 61,626,333.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,103,100 : 43,780,932 = 43,780,932 : x
  2. Step 2: Convert to fraction form
    31,103,100/43,780,932 = 43,780,932/x
  3. Step 3: Cross multiply
    31,103,100x = 43,780,932 × 43,780,932
  4. Step 4: Simplify right side
    31,103,100x = 1,916,770,006,788,624
  5. Step 5: Solve for x
    x = 1,916,770,006,788,624/31,103,100
  6. Step 6: Final answer
    x = 61,626,333.28

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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.