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Finding the Third Proportional to 31,599,132.75 and 49,582,221.19

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Solution

The third proportional to 31,599,132.75 and 49,582,221.19 is: 77,799,497.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,599,132.75 : 49,582,221.19 = 49,582,221.19 : x
  2. Step 2: Convert to fraction form
    31,599,132.75/49,582,221.19 = 49,582,221.19/x
  3. Step 3: Cross multiply
    31,599,132.75x = 49,582,221.19 × 49,582,221.19
  4. Step 4: Simplify right side
    31,599,132.75x = 2,458,396,657,886,174
  5. Step 5: Solve for x
    x = 2,458,396,657,886,174/31,599,132.75
  6. Step 6: Final answer
    x = 77,799,497.77

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.