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Finding the Third Proportional to 216,466,864 and 472,612,172

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Solution

The third proportional to 216,466,864 and 472,612,172 is: 1,031,854,303.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,466,864 : 472,612,172 = 472,612,172 : x
  2. Step 2: Convert to fraction form
    216,466,864/472,612,172 = 472,612,172/x
  3. Step 3: Cross multiply
    216,466,864x = 472,612,172 × 472,612,172
  4. Step 4: Simplify right side
    216,466,864x = 223,362,265,122,557,568
  5. Step 5: Solve for x
    x = 223,362,265,122,557,568/216,466,864
  6. Step 6: Final answer
    x = 1,031,854,303.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.