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Finding the Third Proportional to 33,238,828 and 51,058,909.50

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Solution

The third proportional to 33,238,828 and 51,058,909.50 is: 78,432,736.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,238,828 : 51,058,909.50 = 51,058,909.50 : x
  2. Step 2: Convert to fraction form
    33,238,828/51,058,909.50 = 51,058,909.50/x
  3. Step 3: Cross multiply
    33,238,828x = 51,058,909.50 × 51,058,909.50
  4. Step 4: Simplify right side
    33,238,828x = 2,607,012,239,329,190
  5. Step 5: Solve for x
    x = 2,607,012,239,329,190/33,238,828
  6. Step 6: Final answer
    x = 78,432,736.54

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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.