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Finding the Third Proportional to 40,543,296 and 90,152,832

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Solution

The third proportional to 40,543,296 and 90,152,832 is: 200,465,524.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,543,296 : 90,152,832 = 90,152,832 : x
  2. Step 2: Convert to fraction form
    40,543,296/90,152,832 = 90,152,832/x
  3. Step 3: Cross multiply
    40,543,296x = 90,152,832 × 90,152,832
  4. Step 4: Simplify right side
    40,543,296x = 8,127,533,117,620,224
  5. Step 5: Solve for x
    x = 8,127,533,117,620,224/40,543,296
  6. Step 6: Final answer
    x = 200,465,524.99

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.