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Finding the Third Proportional to 10,082,120 and 15,309,576

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Solution

The third proportional to 10,082,120 and 15,309,576 is: 23,247,404.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,082,120 : 15,309,576 = 15,309,576 : x
  2. Step 2: Convert to fraction form
    10,082,120/15,309,576 = 15,309,576/x
  3. Step 3: Cross multiply
    10,082,120x = 15,309,576 × 15,309,576
  4. Step 4: Simplify right side
    10,082,120x = 234,383,117,299,776
  5. Step 5: Solve for x
    x = 234,383,117,299,776/10,082,120
  6. Step 6: Final answer
    x = 23,247,404.05

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.