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Finding the Third Proportional to 2,560,356 and 5,500,386

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Solution

The third proportional to 2,560,356 and 5,500,386 is: 11,816,421.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,560,356 : 5,500,386 = 5,500,386 : x
  2. Step 2: Convert to fraction form
    2,560,356/5,500,386 = 5,500,386/x
  3. Step 3: Cross multiply
    2,560,356x = 5,500,386 × 5,500,386
  4. Step 4: Simplify right side
    2,560,356x = 30,254,246,148,996
  5. Step 5: Solve for x
    x = 30,254,246,148,996/2,560,356
  6. Step 6: Final answer
    x = 11,816,421.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.