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Finding the Third Proportional to 82,507,533 and 174,850,245

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Solution

The third proportional to 82,507,533 and 174,850,245 is: 370,543,234.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,507,533 : 174,850,245 = 174,850,245 : x
  2. Step 2: Convert to fraction form
    82,507,533/174,850,245 = 174,850,245/x
  3. Step 3: Cross multiply
    82,507,533x = 174,850,245 × 174,850,245
  4. Step 4: Simplify right side
    82,507,533x = 30,572,608,176,560,024
  5. Step 5: Solve for x
    x = 30,572,608,176,560,024/82,507,533
  6. Step 6: Final answer
    x = 370,543,234.84

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.