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Finding the Third Proportional to 32,970,450 and 50,434,731

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Solution

The third proportional to 32,970,450 and 50,434,731 is: 77,149,753.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,970,450 : 50,434,731 = 50,434,731 : x
  2. Step 2: Convert to fraction form
    32,970,450/50,434,731 = 50,434,731/x
  3. Step 3: Cross multiply
    32,970,450x = 50,434,731 × 50,434,731
  4. Step 4: Simplify right side
    32,970,450x = 2,543,662,091,042,361
  5. Step 5: Solve for x
    x = 2,543,662,091,042,361/32,970,450
  6. Step 6: Final answer
    x = 77,149,753.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.