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Finding the Third Proportional to 81,053,038 and 174,415,918

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Solution

The third proportional to 81,053,038 and 174,415,918 is: 375,321,063.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,053,038 : 174,415,918 = 174,415,918 : x
  2. Step 2: Convert to fraction form
    81,053,038/174,415,918 = 174,415,918/x
  3. Step 3: Cross multiply
    81,053,038x = 174,415,918 × 174,415,918
  4. Step 4: Simplify right side
    81,053,038x = 30,420,912,451,782,724
  5. Step 5: Solve for x
    x = 30,420,912,451,782,724/81,053,038
  6. Step 6: Final answer
    x = 375,321,063.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.