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Finding the Third Proportional to 12,730,720 and 26,049,744

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Solution

The third proportional to 12,730,720 and 26,049,744 is: 53,303,282.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,730,720 : 26,049,744 = 26,049,744 : x
  2. Step 2: Convert to fraction form
    12,730,720/26,049,744 = 26,049,744/x
  3. Step 3: Cross multiply
    12,730,720x = 26,049,744 × 26,049,744
  4. Step 4: Simplify right side
    12,730,720x = 678,589,162,465,536
  5. Step 5: Solve for x
    x = 678,589,162,465,536/12,730,720
  6. Step 6: Final answer
    x = 53,303,282.33

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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.