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Finding the Third Proportional to 20,158,024.50 and 31,128,185.25

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Solution

The third proportional to 20,158,024.50 and 31,128,185.25 is: 48,068,396.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,158,024.50 : 31,128,185.25 = 31,128,185.25 : x
  2. Step 2: Convert to fraction form
    20,158,024.50/31,128,185.25 = 31,128,185.25/x
  3. Step 3: Cross multiply
    20,158,024.50x = 31,128,185.25 × 31,128,185.25
  4. Step 4: Simplify right side
    20,158,024.50x = 968,963,916,958,317.50
  5. Step 5: Solve for x
    x = 968,963,916,958,317.50/20,158,024.50
  6. Step 6: Final answer
    x = 48,068,396.63

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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.