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Finding the Third Proportional to 37,566,628,776 and 81,883,263,924

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Solution

The third proportional to 37,566,628,776 and 81,883,263,924 is: 178,479,387,938.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,566,628,776 : 81,883,263,924 = 81,883,263,924 : x
  2. Step 2: Convert to fraction form
    37,566,628,776/81,883,263,924 = 81,883,263,924/x
  3. Step 3: Cross multiply
    37,566,628,776x = 81,883,263,924 × 81,883,263,924
  4. Step 4: Simplify right side
    37,566,628,776x = 6,704,868,910,847,439,667,200
  5. Step 5: Solve for x
    x = 6,704,868,910,847,439,667,200/37,566,628,776
  6. Step 6: Final answer
    x = 178,479,387,938.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.