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Finding the Third Proportional to 2,778,018 and 5,633,256

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Solution

The third proportional to 2,778,018 and 5,633,256 is: 11,423,098.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778,018 : 5,633,256 = 5,633,256 : x
  2. Step 2: Convert to fraction form
    2,778,018/5,633,256 = 5,633,256/x
  3. Step 3: Cross multiply
    2,778,018x = 5,633,256 × 5,633,256
  4. Step 4: Simplify right side
    2,778,018x = 31,733,573,161,536
  5. Step 5: Solve for x
    x = 31,733,573,161,536/2,778,018
  6. Step 6: Final answer
    x = 11,423,098.47

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.