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Finding the Third Proportional to 42,844,134 and 65,270,073.75

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Solution

The third proportional to 42,844,134 and 65,270,073.75 is: 99,434,441.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,844,134 : 65,270,073.75 = 65,270,073.75 : x
  2. Step 2: Convert to fraction form
    42,844,134/65,270,073.75 = 65,270,073.75/x
  3. Step 3: Cross multiply
    42,844,134x = 65,270,073.75 × 65,270,073.75
  4. Step 4: Simplify right side
    42,844,134x = 4,260,182,527,330,439
  5. Step 5: Solve for x
    x = 4,260,182,527,330,439/42,844,134
  6. Step 6: Final answer
    x = 99,434,441.30

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Why These Related Problems?

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