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Finding the Third Proportional to 221,310,576.75 and 477,095,664.75

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Solution

The third proportional to 221,310,576.75 and 477,095,664.75 is: 1,028,510,596.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,310,576.75 : 477,095,664.75 = 477,095,664.75 : x
  2. Step 2: Convert to fraction form
    221,310,576.75/477,095,664.75 = 477,095,664.75/x
  3. Step 3: Cross multiply
    221,310,576.75x = 477,095,664.75 × 477,095,664.75
  4. Step 4: Simplify right side
    221,310,576.75x = 227,620,273,323,244,384
  5. Step 5: Solve for x
    x = 227,620,273,323,244,384/221,310,576.75
  6. Step 6: Final answer
    x = 1,028,510,596.58

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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.