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Finding the Third Proportional to 2,613,966 and 5,662,185

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Solution

The third proportional to 2,613,966 and 5,662,185 is: 12,265,017.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,613,966 : 5,662,185 = 5,662,185 : x
  2. Step 2: Convert to fraction form
    2,613,966/5,662,185 = 5,662,185/x
  3. Step 3: Cross multiply
    2,613,966x = 5,662,185 × 5,662,185
  4. Step 4: Simplify right side
    2,613,966x = 32,060,338,974,225
  5. Step 5: Solve for x
    x = 32,060,338,974,225/2,613,966
  6. Step 6: Final answer
    x = 12,265,017.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.