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Finding the Third Proportional to 13,865,744.81 and 21,638,024.44

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Solution

The third proportional to 13,865,744.81 and 21,638,024.44 is: 33,766,963.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,865,744.81 : 21,638,024.44 = 21,638,024.44 : x
  2. Step 2: Convert to fraction form
    13,865,744.81/21,638,024.44 = 21,638,024.44/x
  3. Step 3: Cross multiply
    13,865,744.81x = 21,638,024.44 × 21,638,024.44
  4. Step 4: Simplify right side
    13,865,744.81x = 468,204,101,557,847.19
  5. Step 5: Solve for x
    x = 468,204,101,557,847.19/13,865,744.81
  6. Step 6: Final answer
    x = 33,766,963.69

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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.