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Finding the Third Proportional to 20,690,683.50 and 31,322,523

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Solution

The third proportional to 20,690,683.50 and 31,322,523 is: 47,417,498.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,690,683.50 : 31,322,523 = 31,322,523 : x
  2. Step 2: Convert to fraction form
    20,690,683.50/31,322,523 = 31,322,523/x
  3. Step 3: Cross multiply
    20,690,683.50x = 31,322,523 × 31,322,523
  4. Step 4: Simplify right side
    20,690,683.50x = 981,100,447,085,529
  5. Step 5: Solve for x
    x = 981,100,447,085,529/20,690,683.50
  6. Step 6: Final answer
    x = 47,417,498.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.