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Finding the Third Proportional to 31,034,493 and 67,440,852

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Solution

The third proportional to 31,034,493 and 67,440,852 is: 146,555,270.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,034,493 : 67,440,852 = 67,440,852 : x
  2. Step 2: Convert to fraction form
    31,034,493/67,440,852 = 67,440,852/x
  3. Step 3: Cross multiply
    31,034,493x = 67,440,852 × 67,440,852
  4. Step 4: Simplify right side
    31,034,493x = 4,548,268,518,485,904
  5. Step 5: Solve for x
    x = 4,548,268,518,485,904/31,034,493
  6. Step 6: Final answer
    x = 146,555,270.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.