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Finding the Third Proportional to 67,010,037 and 145,147,188

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Solution

The third proportional to 67,010,037 and 145,147,188 is: 314,396,277.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,010,037 : 145,147,188 = 145,147,188 : x
  2. Step 2: Convert to fraction form
    67,010,037/145,147,188 = 145,147,188/x
  3. Step 3: Cross multiply
    67,010,037x = 145,147,188 × 145,147,188
  4. Step 4: Simplify right side
    67,010,037x = 21,067,706,184,307,344
  5. Step 5: Solve for x
    x = 21,067,706,184,307,344/67,010,037
  6. Step 6: Final answer
    x = 314,396,277.45

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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.