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Finding the Third Proportional to 13,865,744 and 21,638,023

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Solution

The third proportional to 13,865,744 and 21,638,023 is: 33,766,961.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,865,744 : 21,638,023 = 21,638,023 : x
  2. Step 2: Convert to fraction form
    13,865,744/21,638,023 = 21,638,023/x
  3. Step 3: Cross multiply
    13,865,744x = 21,638,023 × 21,638,023
  4. Step 4: Simplify right side
    13,865,744x = 468,204,039,348,529
  5. Step 5: Solve for x
    x = 468,204,039,348,529/13,865,744
  6. Step 6: Final answer
    x = 33,766,961.18

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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.