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Finding the Third Proportional to 4,862,846 and 11,256,623

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Solution

The third proportional to 4,862,846 and 11,256,623 is: 26,057,078.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,862,846 : 11,256,623 = 11,256,623 : x
  2. Step 2: Convert to fraction form
    4,862,846/11,256,623 = 11,256,623/x
  3. Step 3: Cross multiply
    4,862,846x = 11,256,623 × 11,256,623
  4. Step 4: Simplify right side
    4,862,846x = 126,711,561,364,129
  5. Step 5: Solve for x
    x = 126,711,561,364,129/4,862,846
  6. Step 6: Final answer
    x = 26,057,078.79

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.