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Finding the Third Proportional to 7,995,420 and 17,584,812

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Solution

The third proportional to 7,995,420 and 17,584,812 is: 38,675,343.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,995,420 : 17,584,812 = 17,584,812 : x
  2. Step 2: Convert to fraction form
    7,995,420/17,584,812 = 17,584,812/x
  3. Step 3: Cross multiply
    7,995,420x = 17,584,812 × 17,584,812
  4. Step 4: Simplify right side
    7,995,420x = 309,225,613,075,344
  5. Step 5: Solve for x
    x = 309,225,613,075,344/7,995,420
  6. Step 6: Final answer
    x = 38,675,343.27

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.