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Finding the Third Proportional to 30,682,928 and 51,132,135

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Solution

The third proportional to 30,682,928 and 51,132,135 is: 85,210,095.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,682,928 : 51,132,135 = 51,132,135 : x
  2. Step 2: Convert to fraction form
    30,682,928/51,132,135 = 51,132,135/x
  3. Step 3: Cross multiply
    30,682,928x = 51,132,135 × 51,132,135
  4. Step 4: Simplify right side
    30,682,928x = 2,614,495,229,658,225
  5. Step 5: Solve for x
    x = 2,614,495,229,658,225/30,682,928
  6. Step 6: Final answer
    x = 85,210,095.65

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.