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Finding the Third Proportional to 221,427,399 and 475,715,335

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Solution

The third proportional to 221,427,399 and 475,715,335 is: 1,022,028,353.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,427,399 : 475,715,335 = 475,715,335 : x
  2. Step 2: Convert to fraction form
    221,427,399/475,715,335 = 475,715,335/x
  3. Step 3: Cross multiply
    221,427,399x = 475,715,335 × 475,715,335
  4. Step 4: Simplify right side
    221,427,399x = 226,305,079,954,162,240
  5. Step 5: Solve for x
    x = 226,305,079,954,162,240/221,427,399
  6. Step 6: Final answer
    x = 1,022,028,353.20

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.