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Finding the Third Proportional to 31,591,382.06 and 48,536,683.31

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Solution

The third proportional to 31,591,382.06 and 48,536,683.31 is: 74,571,274.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,591,382.06 : 48,536,683.31 = 48,536,683.31 : x
  2. Step 2: Convert to fraction form
    31,591,382.06/48,536,683.31 = 48,536,683.31/x
  3. Step 3: Cross multiply
    31,591,382.06x = 48,536,683.31 × 48,536,683.31
  4. Step 4: Simplify right side
    31,591,382.06x = 2,355,809,626,977,916
  5. Step 5: Solve for x
    x = 2,355,809,626,977,916/31,591,382.06
  6. Step 6: Final answer
    x = 74,571,274.61

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