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Finding the Third Proportional to 444,543,991,840 and 953,620,807,744

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Solution

The third proportional to 444,543,991,840 and 953,620,807,744 is: 2,045,675,257,466.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,543,991,840 : 953,620,807,744 = 953,620,807,744 : x
  2. Step 2: Convert to fraction form
    444,543,991,840/953,620,807,744 = 953,620,807,744/x
  3. Step 3: Cross multiply
    444,543,991,840x = 953,620,807,744 × 953,620,807,744
  4. Step 4: Simplify right side
    444,543,991,840x = 909,392,644,962,319,054,405,632
  5. Step 5: Solve for x
    x = 909,392,644,962,319,054,405,632/444,543,991,840
  6. Step 6: Final answer
    x = 2,045,675,257,466.14

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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.