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Finding the Third Proportional to 37,942,114,023 and 84,367,543,214.25

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Solution

The third proportional to 37,942,114,023 and 84,367,543,214.25 is: 187,598,464,958.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,942,114,023 : 84,367,543,214.25 = 84,367,543,214.25 : x
  2. Step 2: Convert to fraction form
    37,942,114,023/84,367,543,214.25 = 84,367,543,214.25/x
  3. Step 3: Cross multiply
    37,942,114,023x = 84,367,543,214.25 × 84,367,543,214.25
  4. Step 4: Simplify right side
    37,942,114,023x = 7,117,882,348,008,004,124,672
  5. Step 5: Solve for x
    x = 7,117,882,348,008,004,124,672/37,942,114,023
  6. Step 6: Final answer
    x = 187,598,464,958.84

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.