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Finding the Third Proportional to 82,452,039 and 171,686,241

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Solution

The third proportional to 82,452,039 and 171,686,241 is: 357,494,680.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,452,039 : 171,686,241 = 171,686,241 : x
  2. Step 2: Convert to fraction form
    82,452,039/171,686,241 = 171,686,241/x
  3. Step 3: Cross multiply
    82,452,039x = 171,686,241 × 171,686,241
  4. Step 4: Simplify right side
    82,452,039x = 29,476,165,348,710,080
  5. Step 5: Solve for x
    x = 29,476,165,348,710,080/82,452,039
  6. Step 6: Final answer
    x = 357,494,680.62

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.