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Finding the Third Proportional to 6,914,492 and 9,959,849

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Solution

The third proportional to 6,914,492 and 9,959,849 is: 14,346,475.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,914,492 : 9,959,849 = 9,959,849 : x
  2. Step 2: Convert to fraction form
    6,914,492/9,959,849 = 9,959,849/x
  3. Step 3: Cross multiply
    6,914,492x = 9,959,849 × 9,959,849
  4. Step 4: Simplify right side
    6,914,492x = 99,198,592,102,801
  5. Step 5: Solve for x
    x = 99,198,592,102,801/6,914,492
  6. Step 6: Final answer
    x = 14,346,475.79

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.