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Finding the Third Proportional to 216,211,642 and 466,435,453

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Solution

The third proportional to 216,211,642 and 466,435,453 is: 1,006,245,685.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,211,642 : 466,435,453 = 466,435,453 : x
  2. Step 2: Convert to fraction form
    216,211,642/466,435,453 = 466,435,453/x
  3. Step 3: Cross multiply
    216,211,642x = 466,435,453 × 466,435,453
  4. Step 4: Simplify right side
    216,211,642x = 217,562,031,815,315,200
  5. Step 5: Solve for x
    x = 217,562,031,815,315,200/216,211,642
  6. Step 6: Final answer
    x = 1,006,245,685.03

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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.