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Finding the Third Proportional to 31,366,794 and 67,944,662.25

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Solution

The third proportional to 31,366,794 and 67,944,662.25 is: 147,177,206.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,366,794 : 67,944,662.25 = 67,944,662.25 : x
  2. Step 2: Convert to fraction form
    31,366,794/67,944,662.25 = 67,944,662.25/x
  3. Step 3: Cross multiply
    31,366,794x = 67,944,662.25 × 67,944,662.25
  4. Step 4: Simplify right side
    31,366,794x = 4,616,477,128,266,575
  5. Step 5: Solve for x
    x = 4,616,477,128,266,575/31,366,794
  6. Step 6: Final answer
    x = 147,177,206.83

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