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Finding the Third Proportional to 11,845,100 and 25,633,208

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Solution

The third proportional to 11,845,100 and 25,633,208 is: 55,471,152.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,845,100 : 25,633,208 = 25,633,208 : x
  2. Step 2: Convert to fraction form
    11,845,100/25,633,208 = 25,633,208/x
  3. Step 3: Cross multiply
    11,845,100x = 25,633,208 × 25,633,208
  4. Step 4: Simplify right side
    11,845,100x = 657,061,352,371,264
  5. Step 5: Solve for x
    x = 657,061,352,371,264/11,845,100
  6. Step 6: Final answer
    x = 55,471,152.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.