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Finding the Third Proportional to 31,527,253 and 69,265,584

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Solution

The third proportional to 31,527,253 and 69,265,584 is: 152,176,947.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,527,253 : 69,265,584 = 69,265,584 : x
  2. Step 2: Convert to fraction form
    31,527,253/69,265,584 = 69,265,584/x
  3. Step 3: Cross multiply
    31,527,253x = 69,265,584 × 69,265,584
  4. Step 4: Simplify right side
    31,527,253x = 4,797,721,126,861,056
  5. Step 5: Solve for x
    x = 4,797,721,126,861,056/31,527,253
  6. Step 6: Final answer
    x = 152,176,947.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.