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Finding the Third Proportional to 5,615,074 and 11,496,142

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Solution

The third proportional to 5,615,074 and 11,496,142 is: 23,536,872.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,615,074 : 11,496,142 = 11,496,142 : x
  2. Step 2: Convert to fraction form
    5,615,074/11,496,142 = 11,496,142/x
  3. Step 3: Cross multiply
    5,615,074x = 11,496,142 × 11,496,142
  4. Step 4: Simplify right side
    5,615,074x = 132,161,280,884,164
  5. Step 5: Solve for x
    x = 132,161,280,884,164/5,615,074
  6. Step 6: Final answer
    x = 23,536,872.51

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.