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Finding the Third Proportional to 11,722,963.50 and 17,706,942

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Solution

The third proportional to 11,722,963.50 and 17,706,942 is: 26,745,438.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,722,963.50 : 17,706,942 = 17,706,942 : x
  2. Step 2: Convert to fraction form
    11,722,963.50/17,706,942 = 17,706,942/x
  3. Step 3: Cross multiply
    11,722,963.50x = 17,706,942 × 17,706,942
  4. Step 4: Simplify right side
    11,722,963.50x = 313,535,794,991,364
  5. Step 5: Solve for x
    x = 313,535,794,991,364/11,722,963.50
  6. Step 6: Final answer
    x = 26,745,438.13

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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.