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Finding the Third Proportional to 8,757,787.50 and 13,946,145.75

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Solution

The third proportional to 8,757,787.50 and 13,946,145.75 is: 22,208,232.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,757,787.50 : 13,946,145.75 = 13,946,145.75 : x
  2. Step 2: Convert to fraction form
    8,757,787.50/13,946,145.75 = 13,946,145.75/x
  3. Step 3: Cross multiply
    8,757,787.50x = 13,946,145.75 × 13,946,145.75
  4. Step 4: Simplify right side
    8,757,787.50x = 194,494,981,280,243.06
  5. Step 5: Solve for x
    x = 194,494,981,280,243.06/8,757,787.50
  6. Step 6: Final answer
    x = 22,208,232.53

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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.