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Finding the Third Proportional to 32,318,740 and 51,450,378

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Solution

The third proportional to 32,318,740 and 51,450,378 is: 81,907,320.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,318,740 : 51,450,378 = 51,450,378 : x
  2. Step 2: Convert to fraction form
    32,318,740/51,450,378 = 51,450,378/x
  3. Step 3: Cross multiply
    32,318,740x = 51,450,378 × 51,450,378
  4. Step 4: Simplify right side
    32,318,740x = 2,647,141,396,342,884
  5. Step 5: Solve for x
    x = 2,647,141,396,342,884/32,318,740
  6. Step 6: Final answer
    x = 81,907,320.53

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.