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Finding the Third Proportional to 10,061,976.94 and 15,690,836.53

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Solution

The third proportional to 10,061,976.94 and 15,690,836.53 is: 24,468,586.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,061,976.94 : 15,690,836.53 = 15,690,836.53 : x
  2. Step 2: Convert to fraction form
    10,061,976.94/15,690,836.53 = 15,690,836.53/x
  3. Step 3: Cross multiply
    10,061,976.94x = 15,690,836.53 × 15,690,836.53
  4. Step 4: Simplify right side
    10,061,976.94x = 246,202,351,050,409.53
  5. Step 5: Solve for x
    x = 246,202,351,050,409.53/10,061,976.94
  6. Step 6: Final answer
    x = 24,468,586.30

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.