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Finding the Third Proportional to 2,613,096 and 5,465,646

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Solution

The third proportional to 2,613,096 and 5,465,646 is: 11,432,142.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,613,096 : 5,465,646 = 5,465,646 : x
  2. Step 2: Convert to fraction form
    2,613,096/5,465,646 = 5,465,646/x
  3. Step 3: Cross multiply
    2,613,096x = 5,465,646 × 5,465,646
  4. Step 4: Simplify right side
    2,613,096x = 29,873,286,197,316
  5. Step 5: Solve for x
    x = 29,873,286,197,316/2,613,096
  6. Step 6: Final answer
    x = 11,432,142.64

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.