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Finding the Third Proportional to 216,193,836 and 475,625,976

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Solution

The third proportional to 216,193,836 and 475,625,976 is: 1,046,376,128.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,193,836 : 475,625,976 = 475,625,976 : x
  2. Step 2: Convert to fraction form
    216,193,836/475,625,976 = 475,625,976/x
  3. Step 3: Cross multiply
    216,193,836x = 475,625,976 × 475,625,976
  4. Step 4: Simplify right side
    216,193,836x = 226,220,069,045,952,576
  5. Step 5: Solve for x
    x = 226,220,069,045,952,576/216,193,836
  6. Step 6: Final answer
    x = 1,046,376,128.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.