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Finding the Third Proportional to 7,570,419 and 11,352,849

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Solution

The third proportional to 7,570,419 and 11,352,849 is: 17,025,105.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,570,419 : 11,352,849 = 11,352,849 : x
  2. Step 2: Convert to fraction form
    7,570,419/11,352,849 = 11,352,849/x
  3. Step 3: Cross multiply
    7,570,419x = 11,352,849 × 11,352,849
  4. Step 4: Simplify right side
    7,570,419x = 128,887,180,416,801
  5. Step 5: Solve for x
    x = 128,887,180,416,801/7,570,419
  6. Step 6: Final answer
    x = 17,025,105.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.