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Finding the Third Proportional to 9,674,252 and 13,984,851

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Solution

The third proportional to 9,674,252 and 13,984,851 is: 20,216,142.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,674,252 : 13,984,851 = 13,984,851 : x
  2. Step 2: Convert to fraction form
    9,674,252/13,984,851 = 13,984,851/x
  3. Step 3: Cross multiply
    9,674,252x = 13,984,851 × 13,984,851
  4. Step 4: Simplify right side
    9,674,252x = 195,576,057,492,201
  5. Step 5: Solve for x
    x = 195,576,057,492,201/9,674,252
  6. Step 6: Final answer
    x = 20,216,142.55

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.