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Finding the Third Proportional to 49,962,245 and 115,655,395

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Solution

The third proportional to 49,962,245 and 115,655,395 is: 267,725,567.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,962,245 : 115,655,395 = 115,655,395 : x
  2. Step 2: Convert to fraction form
    49,962,245/115,655,395 = 115,655,395/x
  3. Step 3: Cross multiply
    49,962,245x = 115,655,395 × 115,655,395
  4. Step 4: Simplify right side
    49,962,245x = 13,376,170,392,606,024
  5. Step 5: Solve for x
    x = 13,376,170,392,606,024/49,962,245
  6. Step 6: Final answer
    x = 267,725,567.43

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.