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Finding the Third Proportional to 32,412,852 and 49,442,481

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Solution

The third proportional to 32,412,852 and 49,442,481 is: 75,419,433.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,412,852 : 49,442,481 = 49,442,481 : x
  2. Step 2: Convert to fraction form
    32,412,852/49,442,481 = 49,442,481/x
  3. Step 3: Cross multiply
    32,412,852x = 49,442,481 × 49,442,481
  4. Step 4: Simplify right side
    32,412,852x = 2,444,558,927,435,361
  5. Step 5: Solve for x
    x = 2,444,558,927,435,361/32,412,852
  6. Step 6: Final answer
    x = 75,419,433.24

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