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Finding the Third Proportional to 37,892,108,203 and 81,531,254,315

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Solution

The third proportional to 37,892,108,203 and 81,531,254,315 is: 175,428,228,869.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,892,108,203 : 81,531,254,315 = 81,531,254,315 : x
  2. Step 2: Convert to fraction form
    37,892,108,203/81,531,254,315 = 81,531,254,315/x
  3. Step 3: Cross multiply
    37,892,108,203x = 81,531,254,315 × 81,531,254,315
  4. Step 4: Simplify right side
    37,892,108,203x = 6,647,345,430,177,206,239,232
  5. Step 5: Solve for x
    x = 6,647,345,430,177,206,239,232/37,892,108,203
  6. Step 6: Final answer
    x = 175,428,228,869.33

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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.