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Finding the Third Proportional to 37,883,788 and 81,820,856

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Solution

The third proportional to 37,883,788 and 81,820,856 is: 176,715,498.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,883,788 : 81,820,856 = 81,820,856 : x
  2. Step 2: Convert to fraction form
    37,883,788/81,820,856 = 81,820,856/x
  3. Step 3: Cross multiply
    37,883,788x = 81,820,856 × 81,820,856
  4. Step 4: Simplify right side
    37,883,788x = 6,694,652,476,572,736
  5. Step 5: Solve for x
    x = 6,694,652,476,572,736/37,883,788
  6. Step 6: Final answer
    x = 176,715,498.37

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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.