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Finding the Third Proportional to 2,936,049 and 6,468,123

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Solution

The third proportional to 2,936,049 and 6,468,123 is: 14,249,290.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,936,049 : 6,468,123 = 6,468,123 : x
  2. Step 2: Convert to fraction form
    2,936,049/6,468,123 = 6,468,123/x
  3. Step 3: Cross multiply
    2,936,049x = 6,468,123 × 6,468,123
  4. Step 4: Simplify right side
    2,936,049x = 41,836,615,143,129
  5. Step 5: Solve for x
    x = 41,836,615,143,129/2,936,049
  6. Step 6: Final answer
    x = 14,249,290.51

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.