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Finding the Third Proportional to 6,474,942 and 13,987,332

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Solution

The third proportional to 6,474,942 and 13,987,332 is: 30,215,785.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,474,942 : 13,987,332 = 13,987,332 : x
  2. Step 2: Convert to fraction form
    6,474,942/13,987,332 = 13,987,332/x
  3. Step 3: Cross multiply
    6,474,942x = 13,987,332 × 13,987,332
  4. Step 4: Simplify right side
    6,474,942x = 195,645,456,478,224
  5. Step 5: Solve for x
    x = 195,645,456,478,224/6,474,942
  6. Step 6: Final answer
    x = 30,215,785.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.