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Finding the Third Proportional to 4,098,170 and 9,021,483

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Solution

The third proportional to 4,098,170 and 9,021,483 is: 19,859,389.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,098,170 : 9,021,483 = 9,021,483 : x
  2. Step 2: Convert to fraction form
    4,098,170/9,021,483 = 9,021,483/x
  3. Step 3: Cross multiply
    4,098,170x = 9,021,483 × 9,021,483
  4. Step 4: Simplify right side
    4,098,170x = 81,387,155,519,289
  5. Step 5: Solve for x
    x = 81,387,155,519,289/4,098,170
  6. Step 6: Final answer
    x = 19,859,389.81

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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.