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Finding the Third Proportional to 42,844,128.75 and 65,270,066.63

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Solution

The third proportional to 42,844,128.75 and 65,270,066.63 is: 99,434,431.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,844,128.75 : 65,270,066.63 = 65,270,066.63 : x
  2. Step 2: Convert to fraction form
    42,844,128.75/65,270,066.63 = 65,270,066.63/x
  3. Step 3: Cross multiply
    42,844,128.75x = 65,270,066.63 × 65,270,066.63
  4. Step 4: Simplify right side
    42,844,128.75x = 4,260,181,597,231,939
  5. Step 5: Solve for x
    x = 4,260,181,597,231,939/42,844,128.75
  6. Step 6: Final answer
    x = 99,434,431.78

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.