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Finding the Third Proportional to 1,754,598,174 and 3,901,499,450

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Solution

The third proportional to 1,754,598,174 and 3,901,499,450 is: 8,675,318,476.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,754,598,174 : 3,901,499,450 = 3,901,499,450 : x
  2. Step 2: Convert to fraction form
    1,754,598,174/3,901,499,450 = 3,901,499,450/x
  3. Step 3: Cross multiply
    1,754,598,174x = 3,901,499,450 × 3,901,499,450
  4. Step 4: Simplify right side
    1,754,598,174x = 15,221,697,958,350,303,232
  5. Step 5: Solve for x
    x = 15,221,697,958,350,303,232/1,754,598,174
  6. Step 6: Final answer
    x = 8,675,318,476.85

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Why These Related Problems?

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