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Finding the Third Proportional to 1,841,384,024 and 3,945,418,000

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Solution

The third proportional to 1,841,384,024 and 3,945,418,000 is: 8,453,599,570.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,841,384,024 : 3,945,418,000 = 3,945,418,000 : x
  2. Step 2: Convert to fraction form
    1,841,384,024/3,945,418,000 = 3,945,418,000/x
  3. Step 3: Cross multiply
    1,841,384,024x = 3,945,418,000 × 3,945,418,000
  4. Step 4: Simplify right side
    1,841,384,024x = 15,566,323,194,723,999,744
  5. Step 5: Solve for x
    x = 15,566,323,194,723,999,744/1,841,384,024
  6. Step 6: Final answer
    x = 8,453,599,570.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.