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Finding the Third Proportional to 5,706,364 and 11,612,020

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Solution

The third proportional to 5,706,364 and 11,612,020 is: 23,629,584.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,706,364 : 11,612,020 = 11,612,020 : x
  2. Step 2: Convert to fraction form
    5,706,364/11,612,020 = 11,612,020/x
  3. Step 3: Cross multiply
    5,706,364x = 11,612,020 × 11,612,020
  4. Step 4: Simplify right side
    5,706,364x = 134,839,008,480,400
  5. Step 5: Solve for x
    x = 134,839,008,480,400/5,706,364
  6. Step 6: Final answer
    x = 23,629,584.18

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.