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Finding the Third Proportional to 31,671,006 and 48,960,912

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Solution

The third proportional to 31,671,006 and 48,960,912 is: 75,689,761.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,671,006 : 48,960,912 = 48,960,912 : x
  2. Step 2: Convert to fraction form
    31,671,006/48,960,912 = 48,960,912/x
  3. Step 3: Cross multiply
    31,671,006x = 48,960,912 × 48,960,912
  4. Step 4: Simplify right side
    31,671,006x = 2,397,170,903,871,744
  5. Step 5: Solve for x
    x = 2,397,170,903,871,744/31,671,006
  6. Step 6: Final answer
    x = 75,689,761.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.