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Finding the Third Proportional to 15,726,075 and 33,638,624

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Solution

The third proportional to 15,726,075 and 33,638,624 is: 71,954,192.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,726,075 : 33,638,624 = 33,638,624 : x
  2. Step 2: Convert to fraction form
    15,726,075/33,638,624 = 33,638,624/x
  3. Step 3: Cross multiply
    15,726,075x = 33,638,624 × 33,638,624
  4. Step 4: Simplify right side
    15,726,075x = 1,131,557,024,613,376
  5. Step 5: Solve for x
    x = 1,131,557,024,613,376/15,726,075
  6. Step 6: Final answer
    x = 71,954,192.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.