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Finding the Third Proportional to 53,560,311.75 and 75,424,722.75

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Solution

The third proportional to 53,560,311.75 and 75,424,722.75 is: 106,214,631.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,560,311.75 : 75,424,722.75 = 75,424,722.75 : x
  2. Step 2: Convert to fraction form
    53,560,311.75/75,424,722.75 = 75,424,722.75/x
  3. Step 3: Cross multiply
    53,560,311.75x = 75,424,722.75 × 75,424,722.75
  4. Step 4: Simplify right side
    53,560,311.75x = 5,688,888,801,914,368
  5. Step 5: Solve for x
    x = 5,688,888,801,914,368/53,560,311.75
  6. Step 6: Final answer
    x = 106,214,631.99

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.