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Finding the Third Proportional to 27,832,832 and 56,448,256

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Solution

The third proportional to 27,832,832 and 56,448,256 is: 114,483,700.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,832,832 : 56,448,256 = 56,448,256 : x
  2. Step 2: Convert to fraction form
    27,832,832/56,448,256 = 56,448,256/x
  3. Step 3: Cross multiply
    27,832,832x = 56,448,256 × 56,448,256
  4. Step 4: Simplify right side
    27,832,832x = 3,186,405,605,441,536
  5. Step 5: Solve for x
    x = 3,186,405,605,441,536/27,832,832
  6. Step 6: Final answer
    x = 114,483,700.60

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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.