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Finding the Third Proportional to 6,906,023 and 10,833,512

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Solution

The third proportional to 6,906,023 and 10,833,512 is: 16,994,583.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906,023 : 10,833,512 = 10,833,512 : x
  2. Step 2: Convert to fraction form
    6,906,023/10,833,512 = 10,833,512/x
  3. Step 3: Cross multiply
    6,906,023x = 10,833,512 × 10,833,512
  4. Step 4: Simplify right side
    6,906,023x = 117,364,982,254,144
  5. Step 5: Solve for x
    x = 117,364,982,254,144/6,906,023
  6. Step 6: Final answer
    x = 16,994,583.17

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.