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Finding the Third Proportional to 31,296,739 and 67,221,162

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Solution

The third proportional to 31,296,739 and 67,221,162 is: 144,381,963.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,296,739 : 67,221,162 = 67,221,162 : x
  2. Step 2: Convert to fraction form
    31,296,739/67,221,162 = 67,221,162/x
  3. Step 3: Cross multiply
    31,296,739x = 67,221,162 × 67,221,162
  4. Step 4: Simplify right side
    31,296,739x = 4,518,684,620,630,244
  5. Step 5: Solve for x
    x = 4,518,684,620,630,244/31,296,739
  6. Step 6: Final answer
    x = 144,381,963.27

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.