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Finding the Third Proportional to 444,543,991,842 and 953,620,807,748

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Solution

The third proportional to 444,543,991,842 and 953,620,807,748 is: 2,045,675,257,474.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,543,991,842 : 953,620,807,748 = 953,620,807,748 : x
  2. Step 2: Convert to fraction form
    444,543,991,842/953,620,807,748 = 953,620,807,748/x
  3. Step 3: Cross multiply
    444,543,991,842x = 953,620,807,748 × 953,620,807,748
  4. Step 4: Simplify right side
    444,543,991,842x = 909,392,644,969,947,990,065,152
  5. Step 5: Solve for x
    x = 909,392,644,969,947,990,065,152/444,543,991,842
  6. Step 6: Final answer
    x = 2,045,675,257,474.10

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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.