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Finding the Third Proportional to 33,238,869 and 51,058,971

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Solution

The third proportional to 33,238,869 and 51,058,971 is: 78,432,828.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,238,869 : 51,058,971 = 51,058,971 : x
  2. Step 2: Convert to fraction form
    33,238,869/51,058,971 = 51,058,971/x
  3. Step 3: Cross multiply
    33,238,869x = 51,058,971 × 51,058,971
  4. Step 4: Simplify right side
    33,238,869x = 2,607,018,519,578,841
  5. Step 5: Solve for x
    x = 2,607,018,519,578,841/33,238,869
  6. Step 6: Final answer
    x = 78,432,828.73

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.