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Finding the Third Proportional to 6,580,025 and 10,228,868

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Solution

The third proportional to 6,580,025 and 10,228,868 is: 15,901,115.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,580,025 : 10,228,868 = 10,228,868 : x
  2. Step 2: Convert to fraction form
    6,580,025/10,228,868 = 10,228,868/x
  3. Step 3: Cross multiply
    6,580,025x = 10,228,868 × 10,228,868
  4. Step 4: Simplify right side
    6,580,025x = 104,629,740,561,424
  5. Step 5: Solve for x
    x = 104,629,740,561,424/6,580,025
  6. Step 6: Final answer
    x = 15,901,115.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.