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Finding the Third Proportional to 31,330,096 and 47,895,650

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Solution

The third proportional to 31,330,096 and 47,895,650 is: 73,220,116.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,330,096 : 47,895,650 = 47,895,650 : x
  2. Step 2: Convert to fraction form
    31,330,096/47,895,650 = 47,895,650/x
  3. Step 3: Cross multiply
    31,330,096x = 47,895,650 × 47,895,650
  4. Step 4: Simplify right side
    31,330,096x = 2,293,993,288,922,500
  5. Step 5: Solve for x
    x = 2,293,993,288,922,500/31,330,096
  6. Step 6: Final answer
    x = 73,220,116.81

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.