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Finding the Third Proportional to 2,377,864 and 5,300,326

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Solution

The third proportional to 2,377,864 and 5,300,326 is: 11,814,576.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,377,864 : 5,300,326 = 5,300,326 : x
  2. Step 2: Convert to fraction form
    2,377,864/5,300,326 = 5,300,326/x
  3. Step 3: Cross multiply
    2,377,864x = 5,300,326 × 5,300,326
  4. Step 4: Simplify right side
    2,377,864x = 28,093,455,706,276
  5. Step 5: Solve for x
    x = 28,093,455,706,276/2,377,864
  6. Step 6: Final answer
    x = 11,814,576.32

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.