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Finding the Third Proportional to 37,796,956,400 and 80,985,132,221

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Solution

The third proportional to 37,796,956,400 and 80,985,132,221 is: 173,521,687,075.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,796,956,400 : 80,985,132,221 = 80,985,132,221 : x
  2. Step 2: Convert to fraction form
    37,796,956,400/80,985,132,221 = 80,985,132,221/x
  3. Step 3: Cross multiply
    37,796,956,400x = 80,985,132,221 × 80,985,132,221
  4. Step 4: Simplify right side
    37,796,956,400x = 6,558,591,640,852,852,899,840
  5. Step 5: Solve for x
    x = 6,558,591,640,852,852,899,840/37,796,956,400
  6. Step 6: Final answer
    x = 173,521,687,075.65

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.