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Finding the Third Proportional to 38,286,019.50 and 84,010,996.50

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Solution

The third proportional to 38,286,019.50 and 84,010,996.50 is: 184,345,294.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,286,019.50 : 84,010,996.50 = 84,010,996.50 : x
  2. Step 2: Convert to fraction form
    38,286,019.50/84,010,996.50 = 84,010,996.50/x
  3. Step 3: Cross multiply
    38,286,019.50x = 84,010,996.50 × 84,010,996.50
  4. Step 4: Simplify right side
    38,286,019.50x = 7,057,847,532,923,012
  5. Step 5: Solve for x
    x = 7,057,847,532,923,012/38,286,019.50
  6. Step 6: Final answer
    x = 184,345,294.32

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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.