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Finding the Third Proportional to 216,211,638 and 466,435,446

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Solution

The third proportional to 216,211,638 and 466,435,446 is: 1,006,245,673.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,211,638 : 466,435,446 = 466,435,446 : x
  2. Step 2: Convert to fraction form
    216,211,638/466,435,446 = 466,435,446/x
  3. Step 3: Cross multiply
    216,211,638x = 466,435,446 × 466,435,446
  4. Step 4: Simplify right side
    216,211,638x = 217,562,025,285,218,912
  5. Step 5: Solve for x
    x = 217,562,025,285,218,912/216,211,638
  6. Step 6: Final answer
    x = 1,006,245,673.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.