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Finding the Third Proportional to 38,173,642 and 82,398,982

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Solution

The third proportional to 38,173,642 and 82,398,982 is: 177,860,740.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,173,642 : 82,398,982 = 82,398,982 : x
  2. Step 2: Convert to fraction form
    38,173,642/82,398,982 = 82,398,982/x
  3. Step 3: Cross multiply
    38,173,642x = 82,398,982 × 82,398,982
  4. Step 4: Simplify right side
    38,173,642x = 6,789,592,234,636,324
  5. Step 5: Solve for x
    x = 6,789,592,234,636,324/38,173,642
  6. Step 6: Final answer
    x = 177,860,740.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.