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Finding the Third Proportional to 216,193,824 and 475,625,952

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Solution

The third proportional to 216,193,824 and 475,625,952 is: 1,046,376,080.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,193,824 : 475,625,952 = 475,625,952 : x
  2. Step 2: Convert to fraction form
    216,193,824/475,625,952 = 475,625,952/x
  3. Step 3: Cross multiply
    216,193,824x = 475,625,952 × 475,625,952
  4. Step 4: Simplify right side
    216,193,824x = 226,220,046,215,906,304
  5. Step 5: Solve for x
    x = 226,220,046,215,906,304/216,193,824
  6. Step 6: Final answer
    x = 1,046,376,080.64

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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.