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Finding the Third Proportional to 11,845,490 and 17,914,036

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Solution

The third proportional to 11,845,490 and 17,914,036 is: 27,091,550.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,845,490 : 17,914,036 = 17,914,036 : x
  2. Step 2: Convert to fraction form
    11,845,490/17,914,036 = 17,914,036/x
  3. Step 3: Cross multiply
    11,845,490x = 17,914,036 × 17,914,036
  4. Step 4: Simplify right side
    11,845,490x = 320,912,685,809,296
  5. Step 5: Solve for x
    x = 320,912,685,809,296/11,845,490
  6. Step 6: Final answer
    x = 27,091,550.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.