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Finding the Third Proportional to 37,705,317.75 and 57,654,450.84

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Solution

The third proportional to 37,705,317.75 and 57,654,450.84 is: 88,158,273.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,705,317.75 : 57,654,450.84 = 57,654,450.84 : x
  2. Step 2: Convert to fraction form
    37,705,317.75/57,654,450.84 = 57,654,450.84/x
  3. Step 3: Cross multiply
    37,705,317.75x = 57,654,450.84 × 57,654,450.84
  4. Step 4: Simplify right side
    37,705,317.75x = 3,324,035,702,094,385
  5. Step 5: Solve for x
    x = 3,324,035,702,094,385/37,705,317.75
  6. Step 6: Final answer
    x = 88,158,273.17

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.