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Finding the Third Proportional to 31,527,614 and 67,917,172

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Solution

The third proportional to 31,527,614 and 67,917,172 is: 146,308,003.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,527,614 : 67,917,172 = 67,917,172 : x
  2. Step 2: Convert to fraction form
    31,527,614/67,917,172 = 67,917,172/x
  3. Step 3: Cross multiply
    31,527,614x = 67,917,172 × 67,917,172
  4. Step 4: Simplify right side
    31,527,614x = 4,612,742,252,477,584
  5. Step 5: Solve for x
    x = 4,612,742,252,477,584/31,527,614
  6. Step 6: Final answer
    x = 146,308,003.28

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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.