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Finding the Third Proportional to 33,238,829.50 and 51,058,912

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Solution

The third proportional to 33,238,829.50 and 51,058,912 is: 78,432,740.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,238,829.50 : 51,058,912 = 51,058,912 : x
  2. Step 2: Convert to fraction form
    33,238,829.50/51,058,912 = 51,058,912/x
  3. Step 3: Cross multiply
    33,238,829.50x = 51,058,912 × 51,058,912
  4. Step 4: Simplify right side
    33,238,829.50x = 2,607,012,494,623,744
  5. Step 5: Solve for x
    x = 2,607,012,494,623,744/33,238,829.50
  6. Step 6: Final answer
    x = 78,432,740.68

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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.