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Finding the Third Proportional to 37,806,945.75 and 57,058,197.19

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Solution

The third proportional to 37,806,945.75 and 57,058,197.19 is: 86,112,162.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,806,945.75 : 57,058,197.19 = 57,058,197.19 : x
  2. Step 2: Convert to fraction form
    37,806,945.75/57,058,197.19 = 57,058,197.19/x
  3. Step 3: Cross multiply
    37,806,945.75x = 57,058,197.19 × 57,058,197.19
  4. Step 4: Simplify right side
    37,806,945.75x = 3,255,637,866,287,633
  5. Step 5: Solve for x
    x = 3,255,637,866,287,633/37,806,945.75
  6. Step 6: Final answer
    x = 86,112,162.77

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