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Finding the Third Proportional to 37,721,828.25 and 82,505,236.50

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Solution

The third proportional to 37,721,828.25 and 82,505,236.50 is: 180,455,570.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,721,828.25 : 82,505,236.50 = 82,505,236.50 : x
  2. Step 2: Convert to fraction form
    37,721,828.25/82,505,236.50 = 82,505,236.50/x
  3. Step 3: Cross multiply
    37,721,828.25x = 82,505,236.50 × 82,505,236.50
  4. Step 4: Simplify right side
    37,721,828.25x = 6,807,114,049,920,932
  5. Step 5: Solve for x
    x = 6,807,114,049,920,932/37,721,828.25
  6. Step 6: Final answer
    x = 180,455,570.84

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.