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Finding the Third Proportional to 31,056,409.50 and 67,288,584

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Solution

The third proportional to 31,056,409.50 and 67,288,584 is: 145,791,274.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,056,409.50 : 67,288,584 = 67,288,584 : x
  2. Step 2: Convert to fraction form
    31,056,409.50/67,288,584 = 67,288,584/x
  3. Step 3: Cross multiply
    31,056,409.50x = 67,288,584 × 67,288,584
  4. Step 4: Simplify right side
    31,056,409.50x = 4,527,753,536,725,056
  5. Step 5: Solve for x
    x = 4,527,753,536,725,056/31,056,409.50
  6. Step 6: Final answer
    x = 145,791,274.96

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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.