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Finding the Third Proportional to 11,943,027 and 18,013,502

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Solution

The third proportional to 11,943,027 and 18,013,502 is: 27,169,515.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,943,027 : 18,013,502 = 18,013,502 : x
  2. Step 2: Convert to fraction form
    11,943,027/18,013,502 = 18,013,502/x
  3. Step 3: Cross multiply
    11,943,027x = 18,013,502 × 18,013,502
  4. Step 4: Simplify right side
    11,943,027x = 324,486,254,304,004
  5. Step 5: Solve for x
    x = 324,486,254,304,004/11,943,027
  6. Step 6: Final answer
    x = 27,169,515.26

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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.