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Finding the Third Proportional to 37,942,114,025 and 84,367,543,219

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Solution

The third proportional to 37,942,114,025 and 84,367,543,219 is: 187,598,464,970.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,942,114,025 : 84,367,543,219 = 84,367,543,219 : x
  2. Step 2: Convert to fraction form
    37,942,114,025/84,367,543,219 = 84,367,543,219/x
  3. Step 3: Cross multiply
    37,942,114,025x = 84,367,543,219 × 84,367,543,219
  4. Step 4: Simplify right side
    37,942,114,025x = 7,117,882,348,809,832,366,080
  5. Step 5: Solve for x
    x = 7,117,882,348,809,832,366,080/37,942,114,025
  6. Step 6: Final answer
    x = 187,598,464,970.08

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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.