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Finding the Third Proportional to 5,294,299 and 11,224,302

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Solution

The third proportional to 5,294,299 and 11,224,302 is: 23,796,343.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,294,299 : 11,224,302 = 11,224,302 : x
  2. Step 2: Convert to fraction form
    5,294,299/11,224,302 = 11,224,302/x
  3. Step 3: Cross multiply
    5,294,299x = 11,224,302 × 11,224,302
  4. Step 4: Simplify right side
    5,294,299x = 125,984,955,387,204
  5. Step 5: Solve for x
    x = 125,984,955,387,204/5,294,299
  6. Step 6: Final answer
    x = 23,796,343.08

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.