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Finding the Third Proportional to 38,286,006.75 and 84,010,972.50

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Solution

The third proportional to 38,286,006.75 and 84,010,972.50 is: 184,345,250.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,286,006.75 : 84,010,972.50 = 84,010,972.50 : x
  2. Step 2: Convert to fraction form
    38,286,006.75/84,010,972.50 = 84,010,972.50/x
  3. Step 3: Cross multiply
    38,286,006.75x = 84,010,972.50 × 84,010,972.50
  4. Step 4: Simplify right side
    38,286,006.75x = 7,057,843,500,395,756
  5. Step 5: Solve for x
    x = 7,057,843,500,395,756/38,286,006.75
  6. Step 6: Final answer
    x = 184,345,250.38

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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.