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Finding the Third Proportional to 216,211,641 and 466,435,452

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Solution

The third proportional to 216,211,641 and 466,435,452 is: 1,006,245,685.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,211,641 : 466,435,452 = 466,435,452 : x
  2. Step 2: Convert to fraction form
    216,211,641/466,435,452 = 466,435,452/x
  3. Step 3: Cross multiply
    216,211,641x = 466,435,452 × 466,435,452
  4. Step 4: Simplify right side
    216,211,641x = 217,562,030,882,444,288
  5. Step 5: Solve for x
    x = 217,562,030,882,444,288/216,211,641
  6. Step 6: Final answer
    x = 1,006,245,685.37

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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.