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Finding the Third Proportional to 3,022,500 and 6,386,146

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Solution

The third proportional to 3,022,500 and 6,386,146 is: 13,493,088.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,022,500 : 6,386,146 = 6,386,146 : x
  2. Step 2: Convert to fraction form
    3,022,500/6,386,146 = 6,386,146/x
  3. Step 3: Cross multiply
    3,022,500x = 6,386,146 × 6,386,146
  4. Step 4: Simplify right side
    3,022,500x = 40,782,860,733,316
  5. Step 5: Solve for x
    x = 40,782,860,733,316/3,022,500
  6. Step 6: Final answer
    x = 13,493,088.75

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.