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Finding the Third Proportional to 3,693,754,822,227 and 7,943,407,043,791

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Solution

The third proportional to 3,693,754,822,227 and 7,943,407,043,791 is: 17,082,269,533,337.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,693,754,822,227 : 7,943,407,043,791 = 7,943,407,043,791 : x
  2. Step 2: Convert to fraction form
    3,693,754,822,227/7,943,407,043,791 = 7,943,407,043,791/x
  3. Step 3: Cross multiply
    3,693,754,822,227x = 7,943,407,043,791 × 7,943,407,043,791
  4. Step 4: Simplify right side
    3,693,754,822,227x = 63,097,715,463,348,474,303,479,808
  5. Step 5: Solve for x
    x = 63,097,715,463,348,474,303,479,808/3,693,754,822,227
  6. Step 6: Final answer
    x = 17,082,269,533,337.96

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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.