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Finding the Third Proportional to 3,096,277 and 4,782,472.50

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Solution

The third proportional to 3,096,277 and 4,782,472.50 is: 7,386,949.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096,277 : 4,782,472.50 = 4,782,472.50 : x
  2. Step 2: Convert to fraction form
    3,096,277/4,782,472.50 = 4,782,472.50/x
  3. Step 3: Cross multiply
    3,096,277x = 4,782,472.50 × 4,782,472.50
  4. Step 4: Simplify right side
    3,096,277x = 22,872,043,213,256.25
  5. Step 5: Solve for x
    x = 22,872,043,213,256.25/3,096,277
  6. Step 6: Final answer
    x = 7,386,949.94

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.